Question

Evaluate the expression, reduce to simplest terms
log2^4+log5^4=

Answer 1

The expression log2^4 + log5^4 simplifies to 4 by applying the property of logarithms that log base b of b raised to the power of x equals x.

Step-by-step explanation:

The expression given is log24 + log54. To evaluate this expression, we need to apply the properties of logarithms. Since the bases of the logarithms are the same as the numbers they are affecting by squaring, we can use the identity logbbx = x, where b is the base of the logarithm and x is the exponent. Therefore, log222 = 2 and log552 = 2. Adding these values together gives us 2 + 2 = 4.

Answer 2

You would use rules of Logarithms to condense to 4