4 years ago

PLEASE HELP IN THE NEXT 5 MINUTESPLEASE I WILL MAKE YOU THE BRAINLIEST

Mathematics

1 answer:

Svetllana [295]4 years ago

8 0

Answer:

Step-by-step explanation:

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3log5(x-10)-1/2log54=5log52<br><br> Solve each equation. #10

Inessa [10]

Answer:

$\large\boxed{x=14}$

Step-by-step explanation:

$3\log_5(x-10)-\dfrac{1}{2}\log_54=5\log_52\\\\\text{Domain:}\ x-10>0\to x>10\\\\\text{use}\\\\\log_ab^n=n\log_ab\\\\\log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\========================\\\\\log_5(x-10)^3-\log_54^\frac{1}{2}=\log_52^5\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_5(x-10)^3-\log_5\sqrt4=\log_532\\\\\log_5(x-10)^3-\log_52=\log_532\\\\\log_5\dfrac{(x-10)^3}{2}=\log_532\iff\dfrac{(x-10)^3}{2}=32\qquad\text{multiply both sides by 2}\\\\(x-10)^3=64\to x-10=\sqrt[3]{64}\\\\x-10=4\qquad\text{add 10 to both sides}\\\\x=14\in D$

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4 years ago

9(-5a) simplify the equation

igor_vitrenko [27]

-45a

Hope this helps!

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3 years ago

Which statement is true about the function f(x)=(1/3)^x and g(x)=3^-x?

dybincka [34]

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3 years ago

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mihalych1998 [28]

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4 years ago

Name the three-dimensional figure that is formed by folding the net.

GuDViN [60]

Answer:

prism

Step-by-step explanation:

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