How do I solve this? thank you

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1 Answer
Dec 10, 2016

x=2

Explanation:

Hi Danny. I am assuming you mean the following.

log_x64=6

Use the color(blue)"law of logarithms"

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(log_bx=nhArrx=b^n)color(white)(2/2)|)))

"Here " x=64,b=x" and " n=6

rArr64=x^6

"Now " 64=2^6larr" worth knowing powers of 2"

"Thus "2^6=x^6rArrx=2