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3 years ago

Solve 3x − 8 = 8 for x using the change of base formula log base b of y equals log y over log b.

Mathematics

1 answer:

Gelneren [198K]3 years ago

3 0

Answer:

3^x-8=8 then x=log_3(16)

3^(x-8)=8 then log_3(8)+8

Step-by-step explanation:

So if it is 3^x-8=8

then 3^x=16

and then convert to logarithmic form you write it as log_3(16)=x

_3 means the subscript (the base) is 3

So if it is 3^(x-8)=8

then the log form is log_3(8)=x-8

add 8 on both sides log_3(8)+8=x

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4 years ago

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The answer
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3 years ago

A cube has a volume of 27 squared feet. What is the length of each side?

Step2247 [10]

Hello!

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4 years ago

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The height of a flagpole is one-quarter of the height of a bridge.

DedPeter [7]

Answer:

the height of the flagpole is three fourths the height of the school. the difference in there heights is 4.5 m. what is the height of the school?

----------

Equation:

f = (3/4)s

s-f = 4.5

----

Substitute for "f" and solve for "s":

s-(3/4)s = 4.5

(1/4)s = 4.5

s = 4*4.5

s = 18 meters (height of the school)

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Since f = (3/4)s, f = (3/4)(18)

= (3/2)(9)= 13.5 meters (height of the flag pole)

===============================-step explanation: HOPE THIS HELPS

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4 years ago

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The larger of two numbers is five more than the smaller. Twice the larger is twenty less than four times the smaller. Find the n

lesantik [10]

Answer: Small number = 15.

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.

Twice the larger is twenty less than four times the smaller. This can.be written as:

2(x + 5) = 4x - 20

2x + 10 = 4x - 20

2x - 4x = -20 - 10

-2x = -30

x = 30/2

x = 15

The smaller number is 15

Larger number = x + 5 = 15 + 5 = 20

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3 years ago