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3 years ago

5.) - 7(-2x - 9) = 133 how do you solve this

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer: x= 5

Step-by-step explanation: Distribute the -7 into the parentheses, we get 14x+63=133. You then minus 63 on the left side of the equation and on the right side of the equation. You will get 14x=70. You then solve x by dividing 70 by 14 you will get x=5.

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Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value

sineoko [7]

The value of the logarithmic expression $\log _a (\frac{x^3y}{z^4} )$ is 24.

Given the following logarithmic expressions $\log _ax = 3, \log _ay = 7, \log _az = -2$ , we are to find the value of $\log _a (\frac{x^3y}{z^4} )$

from the above $\log _ax = 3, x = a^3$

$\log _ay = 7, y = a^7$

Substituting x = $a^3$ , y = $a^7$ and z = $a^{-2}$ into the log function $\log _a (\frac{x^3y}{z^4} )$ we will have;

$\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24$

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>

In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

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2 years ago