Answered: Solve the equation: log(x + 3) + log x…

Math

Calculus

Solve the equation: log(x + 3) + log x = 1

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.3: Evaluate And Graph Logarithmic Functions

Problem 202E: In the following exercises, solve each logarithmic equation. 202. lne4x=8

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Question

Solve the equation: log(x + 3) + log x = 1

Expert Solution

Step 1

Given that:

The equation log(x + 3) + log x = 1

To use the formula,

log (a) + log (b) = log (ab)

e ^{log x} = x

log (x + 3 ) + log (x) = log ((x + 3) x )

Then,

log(x + 3) + log x = 1

log ((x + 3) x ) = 1

log (x² + 3x ) = 1

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