How do you solve #log_8 8^4#?

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Answer 1 · 2016-09-18T17:20:52

#4#

Logs terms are easy to understand if you look at them in this form as asking a question.

#log_10 100# is asking "what index of 10 will give 100?

or "How can I make 10 into 100 using an index/power?"

The answer is obviously 2! because #10^2 = 100#

#log_10 100 = 2#

In the same way...

#log_3 27 = 3, " " log_7 49 = 2" " log_2 32 = 5#

In this question

#log_8 8^4#

"What index will make 8 into #8^4? " " rarr 4#