3 years ago

(8+3x)=(4x+6x+7)+90-30

Mathematics

1 answer:

mario62 [17]3 years ago

4 0

Answer:

x = -59/7

Explanation:

This should be right

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If 32^2c= 8^c+7, what is the value of c

Leona [35]

$\bf 32^{2c}=8^{c+7}~~ \begin{cases} 32=2\cdot 2\cdot 2\cdot 2\cdot 2\\ \qquad 2^5\\ 8=2\cdot 2\cdot 2\\ \qquad 2^3 \end{cases}\implies (2^5)^{2c}=(2^3)^{c+7} \\\\\\ 2^{5(2c)}=2^{3(c+7)}\implies \stackrel{\textit{if the bases are the same, then so are the exponents}}{5(2c)=3(c+7)\implies 10c=3c+21} \\\\\\ 7c=21\implies c=\cfrac{21}{7}\implies c=3$