Question

11. What is the value of log81 3? Show your work.

Answer 1

`\log _(81)\left(3\right)=(1)/(4)\quad \left(\mathrm{Decimal:\quad }\:0.25\right)`

`\mathrm{Rewrite\:}81\mathrm{\:as\:}3^4\\=\log _(3^4)\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _(x^n)\left(x\right)=(1)/(n)\\\log _(3^4)\left(3\right)=(1)/(4)\\`

Hope this helps!!!

`Sofia`