SOLUTION: Hello, I need help with solving this problem; 5^?=19 Find the missing number. Round to the nearest thousandth. Rewrite in logarithmic form and use the change of base formula?

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Question 926188: Hello, I need help with solving this problem; 5^?=19
Find the missing number. Round to the nearest thousandth. Rewrite in logarithmic form and use the change of base formula?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Use a variable.
5%5Ex=19.

log%2810%2C%285%5Ex%29%29=log%2810%2C19%29
x%2Alog%2810%2C5%29=log%2810%2C19%29
x=log%2810%2C19%29%2Flog%2810%2C5%29
highlight%28x=1.2788%2F0.6990%29

That was not according to the instructions you listed. Your instructions would be like,
log%285%2C19%29=x and then use the change of base formula.





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CHANGE OF BASE FORMULA
Convert logarithm in base b into logarithm in base c
log%28b%2Cp%29=log%28c%2Cp%29%2Flog%28c%2Cb%29