Question

Solve for x:
2log x + 1 = log 250

Answer 1

Given that :

2logx + 1 = log250

=> logx² + log10 = log250

( mlogn = logn^m & log10 = 1)

=> log(10×x²) = log250 (logmn = logm + logn)

=> 10x² = 250

=> x² = 25

=> x = 5

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Answer 2

Step-by-step explanation:

assuming that base of log is 10

therefore 1 can be written as log 10

also using property of log--> m*log n= log n^m

hence above equation can be reduced to

log x² + log 10 = log 250

by another property of log --.> log m + log n = log m*n

log{10x²} = log250

by taking exponent function both sides (removing log function)

10x²=250

x²= 25

x=±5

hence x have two values +2 and -2.