SOLUTION: 4logbase10(0.9)=logbase10(x) calculate the value of x with full method show

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Question 993545: 4logbase10(0.9)=logbase10(x)
calculate the value of x with full method show
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Electronic calculator or table of logarithms.

4%2Alog%2810%2C0.9%29=log%2810%2Cx%29
4%28-0.0457575%29=log%2810%2Cx%29
-0.18303=log%2810%2Cx%29

x=antilog%2810%2C-0.18303%29-------this text did not render, so,
x=10%5E%28-0.18303%29
highlight%28x=0.6561%29

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
4logbase10(0.9)=logbase10(x)
calculate the value of x with full method show.
-----------------------------------------------------

4%2Alog%2810%2C%280.9%29%29 = log%2810%2C%28x%29%29     ----->

log%2810%2C%280.9%5E4%29%29 = log%2810%2C%28x%29%29     ----->

0.9%5E4 = x                     ----->

x = 0.9%5E4 = 0.6561.