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3 years ago

Condense the expression into a single logarithm and simplify. log26 - log24

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Step-by-step explanation:

this is solved like this

$log_{3}(6) \: - log_{3}(4) \\ = log_{3}( \frac{6}{4} ) \\ = log_{3}( \frac{3}{2} ) \\ = log_{3}(1.5) \\$

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3 years ago

Answer number 20. Please answer all parts to the question.

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2 years ago

Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R

Svet_ta [14]

Answer:

$QR = 23$

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

$PQ = 4x - 1$

$QR = 3x - 1$

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

$PQ + QR = PR$

$(4x - 1) + (3x - 1) = 54$ (substitution)

Solve for x

$4x - 1 + 3x - 1 = 54$

Combine like terms

$4x + 3x - 1 - 1 = 54$

$7x - 2 = 54$

Add 2 to both sides

$7x - 2 + 2 = 54 + 2$

$7x = 56$

Divide both sides by 7

$\frac{7x}{7} = \frac{56}{7}$

$x = 8$

$QR = 3x - 1$

Plug in the value of x into the equation

$QR = 3(8) - 1 = 24 - 1$

$QR = 23$

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3 years ago