2^(-3x)=6^(x+4) Solve for x

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

2^- 3x = 6^x + 4

Solution: x = - 4ln(6)/ln(48) Decimal: (- 1.85137.....)

Solve For X: Step by Step:

2^(- 3x) = 6^(x + 4)

Solve Exponent:

2^-3 = 6^x + 4

log (2^-3x) = log (6^x + 4) (Take log of both sides):

( - 3x) * (log (2)) = (x + 4) * (log (6))

- 3x = (log (6)/(log (2) * (x + 4)

- 3x = 2.584963 * (x + 4)

- 3x = 2.584963x + 10.339852

Simplify both sides of the Equation:

- 3x - 2.584963x = 2.584963x + 10.339852 - 2.584963x

Subtract: 2.584963x From both sides:

- 5.584963x = 10.339852

- 5.584963 =====> - 5.584963

Divide both sides by: ===> - 5.584963

Hence: x ===> - 1.851373

Answer: x = - 1.851373

Hope that helps!!!!! : )

gladu [14]3 years ago

6 0

The answer is x = - 140/39. simplify both sides then isolate the variable

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A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackth

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Complete Question

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places

Answer:

0.1151

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $45.20

μ is the population mean = $50

σ is the population standard deviation = $4

We are solving for x < 45.20

Hence:

z = 45.20 - 50/4

z = -1.2