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7-73.

Given that $\text{log}_{x}\left(2\right) = a, \text{log}_{x}\left(5\right) = b, \text{and log}_{x}\left(7\right) = c$ , write expressions using $a, b$ , and/or $c$ for each log expression below.

$\operatorname { log } _ { x } (10)$
Step 1(a):
$\log_{x}(2\cdot5)$
Step 2(a):
$\log_{x}(2)+\log_{x}(5)$
Answer (a):
$a + b$

$\text{log}_{x}\left(49\right)$
Answer (b):
$2c$

$\operatorname { log } _ { x } (50)$

$\text{log} _ { x } (56)$
Answer (d):
$3a + c$

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