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lapo4ka [179]
2 years ago
6

What is the value of the expression below when y = 3? 10y - 8

Mathematics
1 answer:
ycow [4]2 years ago
3 0

Answer:

<h2>22</h2>

Step-by-step explanation:

<h3>Given, y = 3 </h3>

substitute this value in given expression

<em>=> 10y - 8</em>

<em>=</em><em>></em><em> </em><em>1</em><em>0</em><em>(</em><em>3</em><em>)</em><em> </em><em>-</em><em> </em><em>8</em><em> </em>

<em>=</em><em>></em><em> </em><em>3</em><em>0</em><em> </em><em>-</em><em> </em><em>8</em><em> </em>

<em>=</em><em>></em><em> </em><em>2</em><em>2</em><em>.</em><em>.</em><em>.</em><em>ans</em>

<h2>HOPE IT HELPS U!!!!</h2>
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Log16^*+log4^*+log2^*=7​
ale4655 [162]

Answer:

x = 16

Step-by-step explanation:

Given

log_{16}(x) + log_4(x) + log_2(x) = 7

Required

Solve for x

log_{16}(x) + log_4(x) + log_2(x) = 7

Change base of 16 and base of 4 to base 2

\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7

Express 16 and 4 as 2^4 and 2^2 respectively

\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7

The above can be rewritten as:

\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7

log_22 = 1

So, we have:

\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7

\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7

Multiply through by 4

4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4

log_2(x) + 2}log_2(x) + 4log_2(x) = 28

7log_2(x) = 28

Divide through by 7

\frac{7log_2(x)}{7} = \frac{28}{7}

log_2(x) = 4

Apply the following law of logarithm:

<em>If </em>log_ab = c<em> </em><em>Then </em>b = a^c<em></em>

So, we have:

x = 2^4

x = 16

6 0
3 years ago
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