robbieicu71
Answered

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Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7

Sagot :

Answer:

[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]

• further more:

[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]

Anonimity

x⁷ = 60

Step-by-step explanation:

[tex]\begin{aligned}\rm\log_x(5)+\log_x(12)&=7\\\rm\log_x(5\times 12)&=7\\\rm\log_x(60)&=7\\\bf x^7&=\bf 60\\\rm x&=\sqrt[7]{60}\\\rm x&\approx 1.79\end{aligned}[/tex]

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