Finding values of x for logarithm The question is to find the numbers of x which satisfy the equation. log_x 10=log_4 100.

braffter92

braffter92

Answered question

2022-10-03

Finding values of x for logarithm
The question is to find the numbers of x which satisfy the equation.
log x 10 = log 4 100.
I have
ln 10 ln x = ln 100 ln 4 ln 10 ln x = 2 ln 10 2 ln 2
What would I do after this step?

Answer & Explanation

Kaleb Harrell

Kaleb Harrell

Beginner2022-10-04Added 14 answers

All right. First multiply by l n ( x ) and by l n ( 2 ). You get
l n ( 10 ) l n ( 2 ) = l n ( 10 ) l n ( x )
Now divide by l n ( 10 ). This gives you
l n ( 2 ) = l n ( x )
Now you apply the exponential function on both sides to get rid of the logarithm:
e l n ( x ) = x = e l n ( 2 ) = 2
So x = 2

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