Question

I don’t need the answers for all of them, but can someone show me a step-by-step process for a couple?

Answer 1

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Answer:

(a) 3^4 = x = 81

(c) x^3 = 1000; x=10

(d) 2^5 = x/2; x=64

Explanation:

The relationship between logarithm and exponential forms* is ...

`\log_b{X}=L\ \Longleftrightarrow\ b^L=X`

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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.