Question

Solve for x 10^(log12x+6)=5

Answer 1

do you know what this equals:\[b^{\log_bx}=?\]

Answer 2

no i dont

Answer 3

ok, look at it this way, you this rule I presume - if:\[\log_bx=y\implies x=b^y\]

Answer 4

*you know this...

Answer 5

yes

Answer 6

good, so now substitute into the last expression the value for y and we get:\[x=b^y=b^{\log_bx}\]

Answer 7

since \(y=\log_bx\)

Answer 8

make use of this rule to simplify your equation

Answer 9

I assume your equation is:\[10^{\log_{10}(12x+6)}=5\]

Answer 10

yea so is it 10^5=12x+6?

Answer 11

no - why did you put \(10^5\)?

Answer 12

the 5 should just remain as it was

Answer 13

\[10^{\log_{10}(y)}=y\]

Answer 14

that is the identity you need to use here.

Answer 15

ahh ok i get it. thank you so much

Answer 16

yw :)