Hello friends, please, I need to know how to get the answer out of this exponential equation?

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1 Answer
May 14, 2018

x=34

Explanation:

We have

49x=77

Knowing that 49=72 and 7=712, we get

72x=7712

Using the property that αaαb=αa+b:

72x=732

Since we have 7 as the base of the exponential function on both sides, let us take the log7 of both:

2x=32x=34