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3 years ago

13

Explain how solve 4^(x+3) = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for

x in your answer. Round your answer to the nearest thousandth.

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

-1.596

Step-by-step explanation:

Apply log base 4 both sides

log4(4^(x+3)) = log4(7)

(x+3)log4(4) = lg7/lg4

x+3 = 1.403677461

x = -1.596322539

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$\boxed{ \bold{ \huge{ \boxed{ \text{k = - 9}}}}}$

Step-by-step explanation:

$\star{ \text{ - 126 = 14k}}$

$\text{step \: 1 \: : Intercambia los lados de la ecuación}$

$\hookrightarrow{ \sf{14k = - 126}}$

$\text{step \: 2 : Divide ambos lados por 14}$

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$\hookrightarrow{ \sf{k = - 9}}$

$\text{el valor de k es - 9}$

------------------------------------------------------------

Translation in English:

Step 1 : Swap the sides of the equation

Step 2 : Divide both sides by 14

Step 3 : Calculate

$\sf{Hope \: i \: helped ! }$

$\sf{Best \: regards !!}$

~ $\sf{TheAnimeGirl}$

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