Which is the exponential form of log7 90 = y?
7^y=90
take the log base y of each side...
y=log7 90
To find the exponential form of log7 90 = y, we need to understand the basic definition of logarithms and their relationship to exponential form.
1. Logarithmic form: In logarithmic form, the logarithm function is written as log(base)b (a) = c. This equation states that the logarithm of a number 'a' to a given base 'b' is equal to 'c'.
2. Exponential form: In exponential form, the equation is written as b^c = a. This equation states that the base 'b' raised to the power of 'c' is equal to 'a'.
To convert a logarithmic equation to exponential form, you need to switch the positions of the base and exponent. In this case, we have:
log(base)7 (90) = y.
Therefore, the exponential form would be:
7^y = 90.
In summary, the exponential form of log7 90 = y is 7^y = 90.