Question

Write the exponential equation 3^(x)=5 in logarithmic form. Be sure it is clear if a super script or a subscript is being used.

Answer 1

The exponential equation 3^x = 5 can be written in logarithmic form as log3(5) = x.

Step-by-step explanation:

The exponential equation 3x = 5 can be written in logarithmic form as log3(5) = x.

In logarithmic form, the base of the logarithm is written as a subscript, the result of the logarithm is the exponent, and the argument of the logarithm is the number that the exponent applies to.

Answer 2

The exponential equation 3^x = 5 in logarithmic form is log3(5) = x, which means 'the logarithm base 3 of 5 equals x'.

Step-by-step explanation:

To convert the exponential equation 3x = 5 to logarithmic form, we use the definition of a logarithm, which tells us that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. Therefore, the logarithmic form of our equation is log35 = x, which reads as 'the logarithm base 3 of 5 is equal to x'.