How do you solve this logarithmic equation?

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How do you solve this logarithmic equation?

$7-log_(3)(8x)=2$

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Answer 1 · 2016-11-25T19:59:04

$x=243/8$

Explanation:

Using the $color(blue)"law of logarithms"$

$color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))$

Isolate $log_3(8x)$

$rArr-log_3(8x)=2-7=-5$

$rArrlog_3(8x)=5$

Using the above law.

$8x=3^5=243$

$rArrx=243/8$

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How do you solve this logarithmic equation?

$7-log_(3)(8x)=2$

1 Answer

Explanation:

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How do you solve this logarithmic equation?

7-log_(3)(8x)=27-log_(3)(8x)=2

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$7-log_(3)(8x)=2$