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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.

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

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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
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