Question

find x when -3/4 of power x+1 ÷ -3/4 of power -3=3/4 to the power 4

Answer 1

Hi ,

( -3/4 )^x+1 / ( -3/4 )^-3 = ( 3/4 )⁴

[( - 3/4 )^x ( -3/4 )¹ ]/( - 3/4 )^-3 = ( 3/4 )⁴

( -3/4 )^x / ( -3/4 )-4 = ( 3/4 )⁴

( -3/4 )^x = ( 3/4 )⁴ ( - 3/4 )^-4

( - 3/4 )^x = ( 3/4 )⁴ ( 3/4 )^-4

( -3/4 )^x = ( 3/4 )⁴ ( 4/3 )⁴

( - 3/ 4 )^x = [ ( 3 × 4 )/(4 × 3 ) ]⁴

( -3/4 )^x = 1⁴

( - 3/4 )^x = ( - 3/4 )^0

[ since a^0 = 1 ]

x = 0

[ since if a^n = a^m then n = m ]

Therefore ,

x = 0

I hope this helps you.

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