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3 years ago

Is 5(x - 2) = 5x - 7 one solution

Mathematics

1 answer:

Neko [114]3 years ago

8 0

Answer:

no solution

Step-by-step explanation:

Hello,

$5(x-2)=5x-7\\ 5x-10=5x-7\\ -10=-7$

and this is always false so there is no solution

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Solve for x.<br> 4x - 14<br> x + 85<br> x = [?]

kvasek [131]

Answer:

x = 33

Step-by-step explanation:

4x - 14 = x + 85

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x = 99/3

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3 years ago

Complete the steps to evaluate the following expression, given log3a = −0.631.

Zielflug [23.3K]

$\log _{3}(3)=1$ and $\log _{3} \frac{a}{3}=-1.631$

Solution:

Given value $\log _{3} a=-0.631$ .

To evaluate the expression $\log _{3} \frac{a}{3}$ .

Using logarithmic rule: $\log _{b}\left(\frac{M}{N}\right)=\log _{b}(M)-\log _{b}(N)$

$$\log _{3} \frac{a}{3}=\log _{3}(a)-\log _{3}(3)$

We know that $\log _{3} a=-0.631$ .

$$\log _{3} \frac{a}{3}=-0.631-\log _{3}(3)$

Using another logarithmic rule: $\log _{b} b=1$

$$\log _{3} \frac{a}{3}=-0.631-1$

$$\log _{3} \frac{a}{3}=-1.631$

Hence $\log _{3}(3)=1$ and $\log _{3} \frac{a}{3}=-1.631$ .

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