$\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_6(5x)+\log_6(2)=5\implies \log_6(5x\cdot 2)=5\implies \log_6(10x)=5 \\\\\\ 6^{ \log_6(10x)}=6^5\implies 10x=6^5\implies x = \cfrac{6^5}{10}\implies x = \cfrac{3888}{5}\implies x = 777.6$

8 0

3 years ago

Use point-slope form − 1 = ( − 1) to find the equation of the line that passes through the point (−3,5) and has slope = −2 . Wri

Tom [10]

Answer:

y - 5 = -2(x + 3)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

point: (-3, 5)

slope (m): -2

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = -2(x - (-3))

Simplify.

y - 5 = -2(x + 3)

This is your equation.

Learn with another example:

brainly.com/question/24436844

8 0

2 years ago

.................................

PolarNik [594]

Answer:

Loading Answer...

Step-by-step explanation:

Loading Explanation...

7 0

3 years ago

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Two more than 16 times a number is the same as 21 less than the product of -7 and the number

slava [35]

Answer:

-1

Step-by-step explanation:

<u>Let the number be x, and we have equation:</u>

16x + 2 = -7x - 21
16x + 7x = - 21 - 2
23x = - 23
x = -1

The number is -1

7 0

2 years ago

Read 2 more answers