write the exponential equation in logarithmic form
(5/4)^-2 = 16/25
-2(log 5/4)=log(16/25)
-2log5+2log4=log 16-log25
=2log4-2log5
amazing.
To write the exponential equation (5/4)^-2 = 16/25 in logarithmic form, you need to understand the relationship between exponential and logarithmic expressions. In general, if you have an expression of the form b^x = y, you can write it in logarithmic form as log base b of y = x.
In this case, the base is 5/4, x is -2, and y is 16/25. So, to write the equation in logarithmic form:
log base (5/4) of (16/25) = -2