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3 years ago

1/4h = 6 solve for h

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

the answer is 24

Step-by-step explanation:

all you have to do is divide both sides by 1/4 to get h by itself so 6/.25=24

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How do you determine the base when solving for x by converting to a log?

worty [1.4K]

$$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

Solution:

Given expression:

$$(1.0125)^{4 x}=\frac{3}{2}$

To solve the expression:

$$(1.0125)^{4 x}=\frac{3}{2}$

Using the above condition, we can write

$$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)$

Apply log rule: $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$

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Divide both side of the equation by $4 \ln (1.0125)$ .

$$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

$$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$

The answer is $x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}$ .

8 0

3 years ago

Find the domain of f(x) = -4x + 2 for the range {-5, 2, 6, 18).

Flauer [41]

Answer:

Step-by-step explanation:

calculate x for this equation

f(x) = -5 : -4x +2 = - 5 so : -4x =-7 x = 7/4

f(x) = 2 : -4x +2 = 2 so : -4x =0 x = 0

f(x) =6 : -4x +2 = 6 so : -4x =4 x = -1

f(x) = 18 : -4x +2 = 18 so : -4x =16 x = - 4

the domain is : D = {7/4, 0, -1, -4}

8 0

4 years ago