Question

Write the following logarithmic equation as an exponential equation of the form aˣ=b : log₈₁9=(1)/(2)

Answer 1

To write the logarithmic equation log₈₁9=(1)/(2) as an exponential equation of the form aˣ=b, we use the property that the logarithm of a number is the exponent to which the base must be raised to obtain that number.

Step-by-step explanation:

To write the logarithmic equation log₈₁9=(1)/(2) as an exponential equation of the form aˣ=b, we use the property that the logarithm of a number is the exponent to which the base must be raised to obtain that number. In this case, the base is 8, the exponent is 1/2, and the number is 9.

So, we have 8^(1/2) = 9 as the exponential equation representing the given logarithmic equation.