Question

5^x =12
What is x

Answer 1

Hey
5^x =12
take log on both sides and tell me what you got?

Answer 2

So it would look like this log(5^x) log(12) ??
I got 0

Answer 3

that is wrong you get xlog5=log12
since log(x^m)=mlogx

Answer 4

how would you plug it into the calculator then?

Answer 5

log12\[\ln 12/\ln 5\]

Answer 6

log(12) =1.08 (rounded)
In(12)/In(5) =1.54

Answer 7

why are you taking natural logarithm ln in 2nd step?
5^x =12
take log
log(5^x) =log 12
xlog5=log12 (using the property log(a^b)=b*log(a) )
x=log12/log5
Now use the property { log(a)/log(b) =log(a-b) }...

Answer 8

5^x=12,
for x we have to somehow make bases same of both side
so we have to write 12 in the form of 5
for that we will find log of 12 with the base of 5
\[\log_{5} 12\approx1.5439\]
so
\[5^{1.5439}\approx12\]
so we can also write
5^x=5^1.5439
bases are same so we can cancel the
now
x=1.5439

Answer 9

thanks guys!

Answer 10

dont forget to click on best response pleaseee