Question

Given that logbase4(3)=a, and logbase4(5)=b

express 375 in terms of a and/or b.

there's nothing in 375? i tried 375logbase4(375)^(375) but it didn't work..

Answer 1

@jim_thompson5910 you have any idea how to solve this? ^^

Answer 2

just 375? no log with that?

Answer 3

nope

Answer 4

what is 4^a equal to?

Answer 5

3?

Answer 6

and 4^b ?

Answer 7

5

Answer 8

so that's sort of the stepping stone to getting the final answer

Answer 9

notice how 375 = 15*25 = 3*5*5*5

Answer 10

(4^b)^3 x 4^a?

Answer 11

yes, so

\[\Large 4^{3b}*4^a = 4^{3b+a} = 4^{a+3b}\]

Answer 12

ahh thanks<3

Answer 13

np