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Solve for x. I'm confused on whether we are suppose to expand or condense it, and on what log property do we use.

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asked Sep 18, 2018 97.7k views

5 votes

solve for x. I'm confused on whether we are suppose to expand or condense it, and on what log property do we use.

solve for x. I'm confused on whether we are suppose to expand or condense it, and-example-1

Mathematics
high-school

Happy Coconut asked

by Happy Coconut

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1 Answer

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$\bf log_4(x-2)+log_4(5)=log_4(70)\\\\ -----------------------------\\\\ log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\ -----------------------------\\\\ log_4[5(x-2)]=log_4(70)\impliedby \textit{take out the } log_4 \textit{ from both sides} \\\\\\ 5(x-2)=70\implies x-2=\cfrac{70}{5}\implies x-2=14\implies x=16$