Question

Solve for x. (Round your answer to two decimal places)

log x = -2

Answer 1

we are given

log(x)=-2

we know that

whenever nothing is given in base

we will assume base =10

log_1_0(x)=-2

so, we can solve for x

we can take exponent 10 on both sides

10^{log_1_0(x)}=10^{-2}

now, log will be cancelled with 10

we get

x=10^{-2}

x=0.01 ..............Answer

Answer 2

we are given

`log(x)=-2`

we know that

whenever nothing is given in base

we will assume base =10

`log_1_0(x)=-2`

so, we can solve for x

we can take exponent 10 on both sides

`10^(log_1_0(x))=10^(-2)`

now, log will be cancelled with 10

we get

`x=10^(-2)`

`x=0.01`..............Answer