Whats the answer to log(x-1) = -1 ?

2 Answers

x=1.1

Explanation:

Given that
\log(x-1)=-1

Taking Antilog on both the sides

\text{Antilog}(\log(x-1))=\text{Antilog}(-1)

x-1=10^{-1}

x-1=\frac{1}{10}

x=1+\frac{1}{10}

x=\frac{11}{10}

x=1.1

Jun 21, 2018

x=11/10

Explanation:

The key realization is that if we have a logarithm of the form

log_ba=x, that this is equal to

b^x=a

NOTE: If there's no base on the logarithm, it is implicitly base-10.

This means we can rewrite our logarithm as

10^(-1)=x-1

Which simplifies to

1/10=x-1

Adding 1 to both sides, we get

x=11/10

Hope this helps!