I have to find the solution set of{12}^( - 9x + 10) + 24 = 48

Question

I have to find the solution set of
`{12}^( - 9x + 10) + 24 = 48`

Answer 1

`12^(-9x+10)=24`
`-9x+10=\log _(12)(24)`
`-9x=\log _(12)(12\cdot2)-10`
`-9x=1+\log _(12)2-10`
`-9x=-9+\log _(12)2`
`x=1-(1)/(9)\log _(12)2`