math logarithmic functions, Study notes of Mathematics

examples for logarithmic functions

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2019/2020

Uploaded on 07/07/2025

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3. Inx =— 3 Step 1: Definition of Natural Logarithm Any natural logarithm has base e In,(x) = -3 Step 2: Transform to Exponential Form -3 e =x 1 x=z e FINAL ANSWER: 1 x= e 4. 2logx = log2 + log(3x — 4) Step 1: Apply power property and multiplication property v= 2(3x — 4) Step 2: Solve for x x = 2(3x - 4) x = 6x -8 x —6x+8=0 (x — 4)@ -— 2) =0 x-4=0 | x-2=0 x=4& x=2 Step 3: Checking Both are solutions to the given equation FINAL ANSWER: x=4andx=2