Question

5^x=13

Answer 1

Take log on both sides.
\[\log5^x = \log 13\]Then, use this property: \(\log a^b = b\log a\).
Can you proceed from here?

Answer 2

x= 1.59 but I need the whole decimals @RolyPoly

Answer 3

Do you mean you need the exact value or something else?

Answer 4

yes :) @RolyPoly

Answer 5

Then, leave the answer as \(\frac{\log 13}{\log 5}\), or equivalently, \(\log_513\).

Answer 6

By the way, you need not tag me when you reply. I'll get the notification when you reply.

Answer 7

0.90308998699 is the answer in decimals right?

Answer 8

No. \(\log_513\) is an irrational number, so you cannot write its exact value in decimal.

Answer 9

I mean in a decimal number.

Answer 10

That is to say "0.90308998699" is just a rounded number, not its exact value.

Answer 11

Also, x should be 1.5936926412..... (endless digits), but not 0.9030.... (endless digits)