SOLUTION: 4^3x=10

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Question 631302: 4^3x=10
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%283x%29=10 take the log base 4 of both sides of an equation
log%284%2C4%5E%283x%29%29=log%284%2C10%29
Use the log rule
log%28b%2Ca%5En%29=n%2Alog%28b%2Ca%29
log%28a%2Ca%29=1
.
log%284%2C4%5E%283x%29%29=log%284%2C10%29
3x=log%284%2C10%29 divide by 3
x=log%284%2C10%29%2F3