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svetoff [14.1K]
3 years ago
8

Please help me with logarithms!

Mathematics
2 answers:
Dmitry [639]3 years ago
3 0

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

Liula [17]3 years ago
3 0

Answer:

4.819 =x

Step-by-step explanation:

4^(x-1) = 3^x

Take the log of each side

log (4^(x-1)) = log(3^x)

We know that log a^b = blog a

(x-1)  log 4 = x log (3)

Distribute

x log 4 -log 4 = x log 3

Subtract x log 4 from each side

x log 4 - x log 4 -log 4 = x log 3 - x log 4

- log 4 = x log 3 - x log 4

Factor out -x

- log 4 =- x ( log 4- log 3)

Divide by -1

log 4 = x (log 4 - log 3)

Divide each side by  (log 4 - log 3)

log 4 /  (log 4 - log 3) = x

4.81884167930641800 =x

Round to the nearest thousandth

4.819 =x

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yuradex [85]

Answer:

56

Step-by-step explanation:

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

13 (-5) = (x/7) + 5 (-5)

13 - 5 = x/7

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~

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<h2>Problem:</h2>

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

<h2>Solution:</h2>

\frac{58 + 58(9\% + 15\%)}{3}

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Step-by-step explanation:

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