# How do you write the equation log_4 32=5/2 into exponential form?

${4}^{\frac{5}{2}} = 32$
An equation ${\log}_{m} a = b$ in exponential form is ${m}^{b} = a$
Hence ${\log}_{4} 32 = \frac{5}{2}$ in exponential form can be written as
${4}^{\frac{5}{2}} = 32$