Question

What is the solution to the equation below? Round your answer to two decimal places. log6 x = 2.1

Answer 1

you just have to change the log form to exponential form.

log(b) x = y is the same and saying b^y = x

so 6^2.1 = x

x = 43.06

Answer 2

The solution of the equation is 43.06.

Explanation:

Consider the provided equation:

`log_6x = 2.1`

Consider the left side and apply the rule:
`\quad \:a=\log _b\left(b^a\right)`

`2.1=\log _6\left(6^(2.1)\right)`

Substitute the value of 2.1 in provided equation.

`\log _6\left(x\right)=\log _6\left(6^(2.1)\right)`

`\mathrm{For\:}\log _6\left(x\right)=\log _6\left(6^(2.1)\right)\mathrm{,\:\quad solve\:}x=6^(2.1)`

`x=6^(2.1)`

`x=43.06}`

Hence, the solution of the equation is 43.06.