Question

Solve the exponential equation. Round your answer to the nearest hundredth:6^r = 51

Answer 1

given the expresion

`6^r=51`

we will use logarithm rules to solve this

`ln(6^(r))=ln(51)`

given the following logarithm rule

`ln(a^b)=bln(a)`

thus

`rln(6)=ln(51)`
`r=(ln(51))/(ln(6))`
`r=(3.931)/(1.791)`
`r=2.194`

then

r= 2.20