- #1

- 43

- 2

## Homework Statement

Find the exact value of x if:

## Homework Equations

(3x)

^{lg3}=(4x)

^{lg4}.

## The Attempt at a Solution

3

^{lg3}x

^{lg3}=4

^{lg4}x

^{lg4}

(x

^{lg3})/(x

^{lg4})=(4

^{lg4})/(3

^{lg3})

x

^{lg3-lg4}=(4

^{lg4})(3

^{-(lg3)})

x

^{lg(3/4)}=(4

^{lg4})(3

^{lg(1/3)})

Please help me, Im stuck here!