Question

Pls help pls pls ): precalc

Answer 1

Answer: Choice A

`\log_p N = b` is not the same as
`b^p = N`

The base of the log is p, while the base of the exponential is b. The two don't match. If it said
`\log_p N = b \text{ is the same as } p^b = N` then it would be a valid statement since the bases are both p.

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Extra info:

Choice B is a valid statement because Ln is a natural log with base 'e'

Choice C is valid as any square root is really something to the 1/2 power

Choice D is valid for similar reasons mentioned earlier

Answer 2

A.

Explanation:

A is incorrect. The definition of logarithms is that if
`log_(a)b=c`, then
`a^c=b`.

The variables are in the wrong place. The correct answer should be:

`log_(p)N=b, p^b=N`

B is correct since as
`ln(x)=log_(e)(x)`. Thus,
`e^y=x`

C is correct because the square root of anything is simply that thing to the one-half power.

D is also correct as this is the definition of a logarithm.