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tigry1 [53]
3 years ago
8

Using the properties of exponents and logarithms, find the value of x in 19+2 in x=25

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

x = e³

Step-by-step explanation:

Using the property of logarithms

• log_{b} x = n ⇔ x = b^{n}

Given

19 + 2lnx = 25 ( subtract 19 from both sides )

2lnx = 6 ( divide both sides by 2 )

lnx = 3 [ note lnx = log_{e} x ]

x = e³

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ValentinkaMS [17]

Answer:

The solution to the system of equations is:

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Step-by-step explanation:

Given the system of equations

5x + 4y =8

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solving the system of equations

\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}

\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16

\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85

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\underline{10x+8y=16}

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\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}

solve for y

-23y=69

Divide both sides by -23

\frac{-23y}{-23}=\frac{69}{-23}

y=-3

\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3

10x+8\left(-3\right)=16

10x-24=16

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Divide both sides by 10

\frac{10x}{10}=\frac{40}{10}

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\sf{\red{Answer}}

\sf{m =  \frac{1}{2} }

\sf{\purple{Explanation}}

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\sf{m =  \frac{9- 3}{7- ( - 5)} }

\sf{m =  \frac{6}{7 +  5} }

\sf{m =  \frac{6}{12} }

\sf{m =  \frac{1}{2} }

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Step-by-step explanation:

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