Some equations involving powers or indices can be solved “by inspection” if we are familiar with the powers of common numbers. Try these

\(2^x = 16\)

\(10^x = 0.001\)

\(5^x = 125\)

\(\big(\frac{1}{3}\big)^x = 81\)

Some other equations look very similar but are not so easy to solve. Think about this one \[10^x = 562\] What could you do to find an approximate answer? How accurate could you make your estimate?