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dybincka [34]
3 years ago
11

4(x-a)+3b=5x+a solve for x

Mathematics
2 answers:
klasskru [66]3 years ago
7 0

4(x - a) + 3b = 5x + a

4x - 4a + 3b = 5x + a

3b - 4a - a = 5x - 4x

x = 3b - 5a

MAVERICK [17]3 years ago
3 0

4x - 4a + 3b = 5x + a

-4a + 3b= 5x + a - 4x

-4a + 3b - a = x

-5a + 3b = x

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<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

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The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

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Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

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The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

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