Question

can someone help me find the solution to the equation log16 32 = x + 5 ?

Answer 1

log to base 16 right?

Answer 2

if so 16^(x+5) = 32

Answer 3

altough x is simply log(16)32 - 5
but for simplification,, you may break 32 into 16*2..and use log(ab) = log(a+b)

Answer 4

yeah the log base is 16

Answer 5

but how would i solve this?

Answer 6

log(16)32 is a constant term,,why you need to solve it?
altough even if you wanna simplify,,as i said,,use 32=16*2 and log(ab)=log a + log b

Answer 7

or you can do it this way

take logs of both sides:
log 16^(x+5) = log 32

by laws of logarithms log a^x = x log a:
(x+5) log 16 = log 32
x+5 = log 32/log 16 = 1.25
x = 1.25 - 5 = -3.75

Answer 8

well you changed bases!! smart buddy!! ;)

Answer 9

am i dividing here?
x+5 = log 32/log 16 = 1.25