Question

If log (with base 5)x=8, what is the value of x?

Answer 1

x = 5^8

Answer 2

\(\large\color{midnightblue}{ \rm log_ab=c }\) \(\Huge\color{lime}\rightarrow\) \(\large\color{midnightblue}{ \rm a^c=b }\)

Answer 3

remember this:

\[\log _{a} x = y \Longrightarrow x = a^y\]

Answer 4

oh @SolomonZelman said this at the same time ;)

Answer 5

it says here though that the answers are
a) 1.29
b)1.52
c)32,768
d)390,625

Answer 6

okay nevermind I got d

Answer 7

As the others are saying, you convert to exponential form to get x = 5^8

Then notice how the powers of 5 are

5^1 = 5
5^2 = 25
5^3 = 125
5^4 = 625

Each power of 5 ends with 5

So 5^8 will end with 5