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3 years ago

What is log base 7 of 252

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Answer:

2.84

Step-by-step explanation:

Recognize that 252 = 7*36

and so:

log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or

log base 7 of 36 + 1

So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.

Or, if you want to use the change of base formula, you could do the following:

log 36

log base 7 of 36 = -------------- = 1.84

log 7

and so log base 7 of 252 would come out to

1 + log base 7 of 36 = 1 + 1.84 = 2.84

Check: does 7^2.84 = 252? YES. So we know that:

1 + log base 7 of 36 = 2.84

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