rewrite the following exponential equation logarithmic form
81=9²
rewrite the following exponential equation logarithmic form
81=9²
Answer:
The logarithmic form of the exponential equation 81 = 9² is:
log base 9 of 81 = 2
Step-by-step explanation:
To rewrite the exponential equation 81 = 9² in logarithmic form, we need to determine the base of the exponential equation and the exponent.
In this case, the base is 9 and the exponent is 2.
The logarithmic form of an equation expresses the exponent as the result of a logarithm.
Using the base 9, we can write the equation as:
log base 9 of 81 = 2
This equation states that the logarithm of 81 with base 9 is equal to 2.
Answer:
81 = 4log(3)
Step-by-step explanation:
a^b = b log(a)
81 = 9²
9² = 2 log(9)
2log(9) = 2log(3²)
2log(9) = 2×2log(3)
81 = 4log(3)
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