does anyone know how to do this math?

Question

it is having to do with logs but how do you find out an exponent when they give you what its equal to for example 3^x=225 it has to be to the nearest tenth. how do you do this please help test tomorrow...:(

Answer 1

easisets method is using log

log225 to base 3 =x

that is
log225
---------- = x (both log225 and log 3 to the base ten)
log3

use log book and find values of both
then divide to get answer.

Answer 2

Yes, it is having to do with logs. Just select a convenient base and take logs of both sides. For example, with base 10, x log 3 = log 225 and
x = log 225/log 3. The tables or calculators give much more accurate results than nearest tenth.

Answer 3

this is log base 3 of 225 = x using the change of base formula you can change it to log225/log3 = x and can plug it into a calculator

Answer 4

whenever u r given an eq like a^y=b where y is the unknown,take log on both sides with base as a.

then u get
y=log b (with base as a)

Answer 5

4.92994704