Given log8 32 , change the base to an integer other than 10 to easily evaluate the logarithm.(1 point) logx 32/logx 8= log8 32
To change the base of a logarithm, we can use the change of base formula:
log_a (b) = log_x (b) / log_x (a)
In this case, we want to change the base of log_8 (32) to an integer other than 10. Let's choose the base x.
log_8 (32) = log_x (32) / log_x (8)
Now, let's find the value of log_x (32) and log_x (8).
log_x (32) = log_x (2^5) = 5
log_x (8) = log_x (2^3) = 3
Now, substitute the values back into the formula:
log_8 (32) = 5 / 3
So, log_8 (32) with the base changed to an integer other than 10 is 5/3.