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3 years ago

Approximate the logarithm using the properties of logarithms, given

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Answer:

-0.2084

Step-by-step explanation:

$log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084$

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If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)

olganol [36]

Answer:

$4^x-5x-14$

Step-by-step explanation:

$f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14$

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3 years ago

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Perfect squares. Solve each equation. Check the solutions. g^2+2/3g+1/9=0

Yakvenalex [24]

G^2+2=0,
g^2=-2
g= sqrt-2, not possible.
3g+1=0
3g=-1
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9 cannot be equal to zero for the last one.

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3 years ago

4 to the power of -3 as fraction

shusha [124]

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

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2 years ago

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Aneli [31]

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2 years ago

Two complementary angles are in the ratio 7:8. What is the measure of the larger angle?

yan [13]

Answer

Step-by-step explanation:

We know that sum of complementary angle adds to 90°

Let the angles be 7x and 8x

First of all, finding the value of x

$\sf{7x + 8x = 90 °}$

Collect like terms

⇒ $\sf{15x = 90 °}$

Divide both sides of the equation by 15

⇒ $\sf{ \frac{15x}{15} = \frac{90}{15} }$

Calculate

⇒ $\sf{x = 6 °}$

The value of X is 6°

Now, substituting / Replacing the value of x

⇒ $\sf{7x = 7 \times 6 = 42}$

⇒ $\sf{8x = 8 \times 6 = 48}$

The measure of larger angle is 48°

Hope I helped!

Best regards!!

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3 years ago