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Sveta_85 [38]
3 years ago
5

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}

<em>If f(x) = g(x) then ln(f(x)) = ln(g(x)).</em>

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)

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

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
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