Question

65=27^x

? Confused

Answer 1

solve for x

Answer 2

we can use the logarithms

Answer 3

ok, and how do we goes about that

Answer 4

oh just take log of 27?

Answer 5

then divide?

Answer 6

Log 27 = 1.43

65/1.43 = 45.411?

Answer 7

it is simple, we take the logarithm with base 27 of both sides, so we get:
\[\huge x = {\log _{27}}65\]

Answer 8

ahhh I see, thank you :D

Answer 9

next, we can change the base from 27 to 10 for example

Answer 10

do we need to change it to 10?

Answer 11

Can't I just solve the way it is not?

Answer 12

now*

Answer 13

yes! So, we can compute the value of x by meanns of a calculator. Here it is the final result:
\[\huge x = {\log _{27}}65 = \frac{{{{\log }_{10}}65}}{{{{\log }_{10}}27}}\]

Answer 14

oops.. by means* of...

Answer 15

yup! got it, thank you!

Answer 16

1.27

Answer 17

:)