Solve for m.2 log_5(m-1)=4.Write your answer in simplest form.

Divide by 2: Divide both sides by 2 to isolate the logarithm. \[ \log_5(m-1) = 2 \]Exponential Form: Rewrite the logarithmic equation in exponential form. \[ m-1 = 5^2 \]Calculate Value: Calculate $ 5^2 $. \[ m-1 = 25 \]Add 1: Add 1 to both sides to solve for $ m $. \[ m = 25 + 1 \]Simplify: Simplify the right side. \[ m = 26 \]

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Solve for $m$ . $\newline$ $2 \log_5(m-1)=4$ $\newline$ Write your answer in simplest form.

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Algebra 2

Multiply complex numbers

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Q. Solve for

m

\newline

2 \log_5(m-1)=4

\newline

Write your answer in simplest form.

Divide by $2$ : Divide both sides by $2$ to isolate the logarithm. $\newline$ $\log_5(m-1) = 2$
Exponential Form: Rewrite the logarithmic equation in exponential form. $\newline$ $m-1 = 5^2$
Calculate Value: Calculate $5^2$ . $\newline$ $m-1 = 25$
Add $1$ : Add $1$ to both sides to solve for $m$ . $\newline$ $m = 25 + 1$
Simplify: Simplify the right side. $\newline$ $m = 26$