Solve for w.5 log_7(w−3)=10.Write your answer in simplest form.

Divide by 5: Divide both sides by 5. \[ \log_7(w - 3) = 2 \]Rewrite in exponential form: Rewrite in exponential form. \[ w - 3 = 7^2 \]Calculate 7^2: Calculate $ 7^2 $. \[ w - 3 = 49 \]Add 3 to both sides: Add 3 to both sides. \[ w = 49 + 3 \]Simplify: Simplify. \[ w = 52 \]

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Solve for $w$ . $\newline$ $5 \, \log_7 (w-3) = 10$ $\newline$ Write your answer in simplest form.

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Algebra 1

Linear equations: solve for y

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Q. Solve for

w

\newline

5 \, \log_7 (w-3) = 10

\newline

Write your answer in simplest form.

Divide by $5$ : Divide both sides by $5$ . $\newline$ $\log_7(w - 3) = 2$
Rewrite in exponential form: Rewrite in exponential form. $\newline$ $w - 3 = 7^2$
Calculate $7$ ^ $2$ : Calculate $7^2$ . $\newline$ $w - 3 = 49$
Add $3$ to both sides: Add $3$ to both sides. $\newline$ $w = 49 + 3$
Simplify: Simplify. $\newline$ $w = 52$