1. How many real numbers x satisfy the equation 1 5 log 2 ⁡ x...

kadejoset

kadejoset

Answered

2022-07-28

1. How many real numbers x satisfy the equation 1 5 log 2 x = sin ( 5 π x )?
2. Find the value of x that satisfies log x 25 log x 4 = log x x
3. Find the numerical value of log 1 125 25 3 25 .

Answer & Explanation

Hassan Watkins

Hassan Watkins

Expert

2022-07-29Added 18 answers

How many real numbers x satisfy the equation
log 2 ( x 1 / 5 ) = sin ( 5 π x ) sin ( 5 π x ) is always 0.
2 sin ( 5 π x ) = x 1 / 5 2 0 = x 1 / 5 x = 1
2. Find the value of x that satisfies .
log x ( 25 / 4 ) = log x ( x 1 / 2 ) 25 / 4 = x x = 625 / 16
3. Find the numerical value of.
= log 5 3 5 2 5 2 / 3 = log 5 3 5 8 / 3 = 8 / 9

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