Answer:
[tex]log_b 1 = 0[/tex]
Step-by-step explanation:
Given
[tex]log_b 1[/tex]
Required
Solve
[tex]log_b 1[/tex]
Express 1 as [tex]b^0[/tex]
[tex]log_b 1 = log_b b^0[/tex]
Apply power rule of logarithms
[tex]log_b 1 = 0 * log_b b[/tex]
Multiply by 0
[tex]log_b 1 = 0[/tex]
Answer:
logb 1 = 0
Step-by-step explanation:
Suppose that logb 1 = x.
Using the definition of a logarithm, bx = 1.
The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.
Therefore, logb 1 = 0.
