SOLUTION: which logarithmic equation is equivalent to the exponential equation below?
8^x=100
a. x=log8 100
b. x=log100 8
c. 100=logx 8
b. 8=logx 100
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Question 145339: which logarithmic equation is equivalent to the exponential equation below?
8^x=100
a. x=log8 100
b. x=log100 8
c. 100=logx 8
b. 8=logx 100
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Take the log base 10 of both sides.
Rewrite the left side using the identity .
Divide both sides by to isolate x.
Use the change of base formula to simplify.
So is equivalent to
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