3. Which expression is equivalent to log532?

1 answer:

8 0

Answer: The Nth power xN of a number x was originally defined as x multiplied by itself, until there is a total of N identical factors. By means of various generalizations, the definition can be extended for any value of N that is any real number.

(2) The logarithm (to base 10) of any number x is defined as the power N such that

x = 10N

(3) Properties of logarithms:

(a) The logarithm of a product P.Q is the sum of the logarithms of the factors

log (PQ) = log P + log Q

(b) The logarithm of a quotient P / Q is the difference of the logarithms of the factors

log (P / Q) = log P – log Q

log[PQ] = Q.logP

Step-by-step explanation:

You might be interested in

Round 62.276 to the nearest hundredth

AnnZ [28]

Answer:

62.28

Step-by-step explanation:

4 0

3 years ago

Which conditions will result in the construction of a UNIQUE triangle? Select all that apply.

Volgvan

Has to be D (enjot) AUGHHH

8 0

3 years ago

I need help with this pls very great full

dangina [55]

The answer to question 1 is here, I don't understand question 2 so I can't answer it.

5 0

2 years ago

10.) Find the exact value of cos⁡(2 sin^(−1)⁡(3/5) ). Do not use a calculator and show your work!

Talja [164]

Double angle identity for cosine:

$\cos\left(2\sin^{-1}\dfrac35\right)=\cos^2\left(\sin^{-1}\dfrac35\right)-\sin^2\left(\sin^{-1}\dfrac35\right)$

By the Pythagorean theorem, if $\sin x=\dfrac35$ , it follows that $\cos x=\dfrac45$ :

$\cos^2x+\sin^2x=1\implies \cos x=\pm\sqrt{1-\sin^2x}$

where we take the positive root because $-\dfrac\pi2\le\sin^{-1}x\le\dfrac\pi2$ , and $\cos x$ is non-negative throughout this domain.

So we have

$\cos^2\left(\sin^{-1}\dfrac35\right)-\sin^2\left(\sin^{-1}\dfrac35\right)=\left(\dfrac45\right)^2-\left(\dfrac35\right)^2=\dfrac7{25}$

3 0

3 years ago

Help please, will give brainliest!!!

alekssr [168]

The answer is C! Have a great day!

6 0

3 years ago