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?
