9514 1404 393
Answer:
(a) 3^4 = x = 81
(c) x^3 = 1000; x=10
(d) 2^5 = x/2; x=64
Step-by-step explanation:
The relationship between logarithm and exponential forms* is ...
[tex]\log_b{X}=L\ \Longleftrightarrow\ b^L=X[/tex]
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Per your instructions, we have answered only one of each type.
(a) 3^4 = x ⇒ x = 81
(c) x^3 = 1000 ⇒ x = ∛1000 = 10
(d) 2^5 = x/2 ⇒ x = 2^6 = 64
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* I remember this by remembering that a logarithm is an exponent. The rules for logarithms are the same as the rules for exponents. The base is still the base in either form.
