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3 years ago

Piper has a balance of $1,500 on

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer: $408.96

Step-by-step explanation:

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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3 years ago

Can someone help please??????

denis23 [38]

Answer:

Please refer to the attachment

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3 years ago

In the following equation, a and b are both integers. a(3x-8)=b -18x

zaharov [31]

The value of a is -6
The value of b is 48

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3 years ago

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William put $100 in a bank account last year. Now he has more money in the account. Which expressions represent how much money W

gulaghasi [49]

You are right the answers are B and D because in both we have 100$ at the first :))
i hope this is helpful
have a nice day

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3 years ago

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If correct I will give brainly

Marizza181 [45]

Answer:

Step-by-step explanation:

all you need to do is switch the x with 12

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3 years ago