Solve each equation x. If your answer is a decimal, round to the nearest hundredth log

Ksb asked May 18, 2023

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Ksb asked May 18, 2023

by Ksb

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18 votes

ANSWER :

x = 3

EXPLANATION :

From the problem, we have the equation :

$\log_7(5x+12)=\log_7(3x+18)$

Since we have two logarithms both having the same base of 7, we can equate it by :

$\begin{gathered} \operatorname{\log}_(7)(5x+12)=\operatorname{\log}_(7)(3x+18) \\ 5x+12=3x+18 \end{gathered}$

Solve for the value of x :

$\begin{gathered} 5x+12=3x+18 \\ 5x-3x=18-12 \\ 2x=6 \\ x=(6)/(2) \\ x=3 \end{gathered}$

Zunior answered May 25, 2023

2.3k points

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