Log algebra question

True or False

2log10 ^ x = x^2

You can move the x exponent down to the front for 2xlog10 =x^2. The log 10 cancels because its log base 10 of 10, which is equal to 1. Then you have 2x=x^2, which is false.

I'm not sure if 'log' you meant log base 10, or natural log which is ln. Sometimes ln is written as log. In any case, it is false.

False, you can pick any number and plug it in to your calculator. Just hit 2, log, then the number you want for x. Then compare that to the answer you get when you put it that same number squared, there is no number that can ever be the same...

take exponential of both sides gives

10^2x = e(x^2)

now consider when x=0
10^0 = 1
e^0 = 1

so true loooool i'm joking, its false you doughnut,