Change the logarithmic statement to an equivalent statement

Change the logarithmic statement to an equivalent statement involving an exponent, log_3^81 = x The equivalent exponential statement is. (Type an equation.)

Solution

we know that

logb(a) = c can be writen in exponential form as

a = b^c

by comparing

a= 81 ,b= 3, c=x

81 = 3^x

3^4 = 3^x

here bases are equal so powers are must be equal

x = 4