Math, asked by Ranajoy1961, 8 months ago

Log 5x base 2+7 =5 then x=

Answers

Answered by anindyaadhikari13
4

\star\:\:\:\bf\large\underline\blue{Question:-}

  • Solve the given logarithmic equation.

\star\:\:\:\bf\large\underline\blue{Solution:-}

 \displaystyle  \ log_{2}(5x) + 7 = 5

 \implies \ log_{2}(5x)  =  - 2

Now, we know that,

 log_{a}(x)  = y \implies {a}^{y}  = x

So,

\ log_{2}(5x)  =   - 2

 \implies  {2}^{ - 2}  = 5x

 \implies  5x =  \frac{1}{4}

 \implies  x =  \frac{1}{4  \times 5}

 \implies  x =  \frac{1}{20}

\star\:\:\:\bf\large\underline\blue{Answer:-}

  • The value of x is  \frac{1}{20}
Answered by nehashanbhag0729
2

Answer:

hey the above answer ........

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