https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:exponential-and-logarithmic-functions/xe322600f784e4778:exponential-and-logarithmic-equations-and-inequalities/v/solving-logarithmic-equations-2 2025-09-11T05:00:47.574338337Z Solving logarithmic equations Sal solves a logarithmic equation with a fractional argument. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/21d2cf46-9c65-4883-aada-334b2058576e_1280_720_base.png Solving logarithmic equations Sal solves a logarithmic equation with a fractional argument. https://cdn.kastatic.org/ka-youtube-converted/ZQUuhYgjqmw.mp4/ZQUuhYgjqmw.mp4 125 Exponential and logarithmic equations and inequalities https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/alg-logarithmic-equations/v/solving-logarithmic-equations_dup_1 2020-06-23T07:22:41Z Logarithmic equations: variable in the base Sal solves the equation 4=log_b(81). Monterey Institute for Technology and Education video https://cdn.kastatic.org/googleusercontent/UDEmQBMfKwI1xL_F43qxAhHsUEcEMTj3clwevOk43TKXd48pZ9B3UMhJDuKLLujHTVx7zx7N-wkuL1YqNj-y1Au8Tw Logarithmic equations: variable in the base Sal solves the equation 4=log_b(81). https://cdn.kastatic.org/ka-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.mp4 208 Exponential and logarithmic equations and inequalities https://www.khanacademy.org/math/algebra-home/alg-exp-and-log/alg-logarithmic-equations/v/solving-logarithmic-equations 2020-06-23T07:22:41Z Logarithmic equations: variable in the argument Sal solves the equation log(x)+log(3)=2log(4)-log(2). Sal Khan video https://cdn.kastatic.org/googleusercontent/3Zwiks3EK7hMjc8PlqX0GNOHTtZVLjD-yAhSPaZs2BHVOEQ8fFwgIaR1_w1BJ83awsZDDLUbjWiam1QRESVKUkOq Logarithmic equations: variable in the argument Sal solves the equation log(x)+log(3)=2log(4)-log(2). https://cdn.kastatic.org/ka-youtube-converted/Kv2iHde7Xgw.mp4/Kv2iHde7Xgw.mp4 253 Exponential and logarithmic equations and inequalities https://www.khanacademy.org/math/ap-precalculus/xe322600f784e4778:exponential-and-logarithmic-functions/xe322600f784e4778:exponential-and-logarithmic-equations-and-inequalities/e/solve-logarithmic-equations 2026-06-09T17:40:46.212160686Z Solve logarithmic equations Solving logarithmic equations using multiple approaches. Courtney Chernin-Hitchings exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/v/exponential-equation 2021-06-30T17:32:35Z Solving exponential equations using logarithms: base-10 Sal solves the equation 10^(2t-3)=7. Sal Khan video https://cdn.kastatic.org/googleusercontent/N9ubBpdN-foPzJPD0nPnukCHjrYPQCJ-9RnJjfivA4PXs7hM5KOxrdyuujuEYDIiW8942VkoQzD_0cSF-2ofKmPW Solving exponential equations using logarithms: base-10 Sal solves the equation 10^(2t-3)=7. https://cdn.kastatic.org/ka-youtube-converted/R443Db-wJ5o.mp4/R443Db-wJ5o.mp4 171 Exponential and logarithmic equations and inequalities https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/a/solving-exponential-equations-with-logarithms 2021-06-30T17:32:36Z Solving exponential equations using logarithms Learn how to solve any exponential equation of the form a⋅b^(cx)=d. For example, solve 6⋅10^(2x)=48. article https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/e/using-logarithms-to-solve-exponential-equations 2026-04-07T23:36:17.218592739Z Solve exponential equations using logarithms: base-10 and base-e Solve exponential equations that have 10 or e at the base of the exponential term. Stacy Beaudoin exercise https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/v/solve-exponentials 2021-06-30T17:32:38Z Solving exponential equations using logarithms: base-2 We can use logarithms to solve *any* exponential equation of the form a⋅bᶜˣ=d. For example, this is how you can solve 3⋅10²ˣ=7: 1. Divide by 3: 10²ˣ=7/3 2. Use the definition of logarithm: 2x=log(7/3) 3. Divide by 2: x=log(7/3)/2 Now you can use a calculator to find the solution of the equation as a rounded decimal number ​ Sal Khan video https://cdn.kastatic.org/googleusercontent/V2up2to5PR6Rd5FyS6YarI7kTmR9UVn4PizH2ue0u_k8c6zC-amA-1hidij5mGGNvxKEPuC_tG8d-XNbrHMH2-I4 Solving exponential equations using logarithms: base-2 We can use logarithms to solve *any* exponential equation of the form a⋅bᶜˣ=d. For example, this is how you can solve 3⋅10²ˣ=7: 1. Divide by 3: 10²ˣ=7/3 2. Use the definition of logarithm: 2x=log(7/3) 3. Divide by 2: x=log(7/3)/2 Now you can use a calculator to find the solution of the equation as a rounded decimal number ​ https://cdn.kastatic.org/ka-youtube-converted/7Ig6kVZaWoU.mp4/7Ig6kVZaWoU.mp4 312 Exponential and logarithmic equations and inequalities https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:exp-eq-log/e/solve-exponential-equations-using-logarithms-base-2 2026-04-07T23:17:37.123726494Z Solve exponential equations using logarithms: base-2 and other bases Solve exponential equations that have 2 or other numbers at the base of the exponential term. Stacy Beaudoin exercise