Find the inverse of the function y=log8 x
See:
http://www.jiskha.com/display.cgi?id=1304264746
To find the inverse of the function y = log8 x, we need to switch the variables x and y and solve for y.
Step 1:
Start with the original function: y = log8 x
Step 2:
Switch the variables x and y: x = log8 y
Step 3:
Next, rewrite the equation in exponential form. Recall that the logarithm function is the inverse of the exponential function. In exponential form, the base becomes the base raised to the power of y, which equals x. So, we have: 8^x = y
Step 4:
Finally, rewrite the equation with y as the subject: y = 8^x
So, the inverse function of y = log8 x is given by y = 8^x.