SOLUTION: Find the value of log688. (2 decimal places) thats log(subscript 6)88. thank you

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Question 950933: Find the value of log688. (2 decimal places) thats log(subscript 6)88. thank you
Found 2 solutions by josgarithmetic, macston:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
log(6,(88))
Surround by triple left and triple right curly braces, log%286%2C%2888%29%29

log%286%2C%288.8%2A10%5E1%29%29

log%286%2C8.8%29%2Blog%286%2C%2810%5E1%29%29

log%286%2C8.8%29%2B%28-1%29%2Alog%286%2C10%29

log%286%2C8.8%29-log%286%2C10%29

Use Change Of Base formula to put into the base of your choice, base ten being most likely choice.

log%2810%2C8.8%29%2Flog%2810%2C6%29-log%2810%2C10%29%2Flog%2810%2C6%29
highlight%28%28%28log%2810%2C8.8%29%29-1%29%2F%28log%2810%2C6%29%29%29, maybe more comfortable to evaluate


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Look in table of logarithms, or use scientific calculator to finish.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The following is a change-of-base formula
You can use the log of any base for the intermediate stage:I use log base 10 because that is what most calculators calculate.
PROBLEM: Find log (base 6) of 88
log(base6)(88)=%28log%28%2888%29%29%29%2Flog%28%286%29%29=1.944/0.778=2.499
ANSWER: The log(base 6) of 88 is 2.499
CHECK:
88=6%5E2.499
88=88.023 As close as we'll get with rounding