Complete the steps to evaluate the following expression, given log3a = −0.631.log3 a3
To evaluate the expression log3 a3, we can use the properties of logarithms
To evaluate the expression log3 a3, we can use the properties of logarithms. The property we will use in this case is that the logarithm of a power of a number can be expressed as the product of the exponent and the logarithm of the base.
Step 1: Rewrite the expression in terms of log base 3:
log3 a3 = 3 * log3 a
Step 2: Substitute the given value of log3 a = -0.631:
3 * log3 a = 3 * (-0.631)
Step 3: Simplify the expression:
3 * (-0.631) = -1.893
Therefore, log3 a3 is equal to -1.893.
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