3 years ago

What does "a" equal in this problem? 8= 2^a

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

Answer:

Step-by-step explanation:

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I need help!!

Natasha2012 [34]

Answer:

The exact solution is

$x = \frac{Ln(60)}{7*Ln(5)}$

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

$5^{7*x} = 60\\$

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

$Ln(5^{7*x}) = Ln(60)$

Then we get:

$7*x*Ln(5) = Ln(60)$

Solving that for x we get:

$x = \frac{Ln(60)}{7*Ln(5)} = 0.363$

So the exact solution is:

$x = \frac{Ln(60)}{7*Ln(5)}$

And the approximation to three decimal places is:

x = 0.363

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3 years ago

Lauren is building a tree house with her dad. The dimensions of the floor are 9 feet by 6 feet. What is the area of the floor, m

lbvjy [14]

The area is 6 yrds^2
Hope this helps

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3 years ago

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of th

vodka [1.7K]

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where
h------------> is the <span>deep in the new terrarium
</span>remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in

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4 years ago

I'm not sure how to do this. Help please?

OLEGan [10]

The area is 65 m squared

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4 years ago

Determine all intervals on which f(x) > 0.

8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

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3 years ago