Problem 730

Write the inverse of y = 14^x in logarithmic form.

 

Solution:-

 

To find the inverse of y = 14^x, first rewrite the equation by interchanging x  and y.

x = 14^y

Solve the new equation for y . Here, y is the power to which 14 raised to get the number x.

For x > 0, b > 0, and b ≠ 1, the logarithmic function to the base b is y = log _bx, which is defined by x = b^y.

Now write the inverse in logarithmic form.

y = log ₁₄x

Therefore, the inverse of y = 14^x in logarithmic form is y = log ₁₄x.