Solution of this 

Asked by Surjitsp6u | 23rd Aug, 2019, 03:10: PM

Expert Answer:

2 to the power of log subscript 3 open parentheses open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 close parentheses end exponent less or equal than 8
rightwards double arrow 2 to the power of fraction numerator log open parentheses open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 close parentheses over denominator log space 2 end fraction cross times fraction numerator log space 2 over denominator log space 3 end fraction end exponent less or equal than 8
rightwards double arrow open parentheses 2 to the power of log subscript 2 open parentheses open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 close parentheses end exponent close parentheses to the power of fraction numerator log space 2 over denominator log space 3 end fraction end exponent less or equal than 8
rightwards double arrow open parentheses open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 close parentheses to the power of log subscript 3 2 end exponent less or equal than 8
rightwards double arrow open parentheses open parentheses open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 close parentheses to the power of log subscript 3 2 end exponent close parentheses to the power of log subscript 2 3 end exponent less or equal than 8 to the power of log subscript 2 3 end exponent equals open parentheses 2 cubed close parentheses to the power of log subscript 2 3 end exponent equals 2 to the power of 3 log subscript 2 3 end exponent equals 2 to the power of log subscript 2 3 cubed end exponent
rightwards double arrow open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 less or equal than 2 to the power of log subscript 2 3 cubed end exponent equals 3 cubed
rightwards double arrow open square brackets open vertical bar x plus 1 close vertical bar close square brackets minus 5 less or equal than 27
rightwards double arrow open square brackets open vertical bar x plus 1 close vertical bar close square brackets less or equal than 32
rightwards double arrow open square brackets vertical line x vertical line close square brackets plus 1 less or equal than 32
rightwards double arrow open square brackets vertical line x vertical line close square brackets less or equal than 31
rightwards double arrow vertical line x vertical line less or equal than 31 less than 32
H e n c e comma space vertical line x vertical line less than 32.

Answered by Renu Varma | 28th Aug, 2019, 10:45: AM

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