Mathematics: Solve for x. [tex] 5^{-x-3} =8^{5x} [/tex] write the exact answer using base-10 logarithms.

Solve for x. [tex] 5^{-x-3} =8^{5x} [/tex] write

Ответ:

aaliyahbaladez56

12.03.2022

Hello,

$5^{-x-3}=8^{5x}\\\Rightarrow\ (-x-3)\ Log(5)=5x\ Log(8)\\\Rightarrow\ -xLog(5)-3Log(5)=5x Log(8)\\ \Rightarrow\ x(5 Log(8)+Log(5))=-3Log(5)\\ \Rightarrow\ x=\dfrac{-3\ Log(5)}{Log(5)+5\ Log(8)}\\x\approx{-0.40213677...}$

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Ответ:

Kalij13

19.01.2023

Mathematics

im gonna say 23 or 24 not 100% sure

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Solve for x. $5^{-x-3} =8^{5x}$ write the exact answer using base-10 logarithms.

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Solve for x. $5^{-x-3} =8^{5x}$ write the exact answer using base-10 logarithms.