Question

( 2 power 3x-1 -10)÷3=-6​

Answer 1

Answer:

$\huge\underline{ \underline{ \red{your \: \: answer}}}$

Step-by-step explanation:

$\sf\green{ \frac{ {2}^{3x - 1 - 10} }{3} = - 6 } \\ \sf\green{ = > {2}^{ 3x - 1 - 10} = - 6 \times 3} \\ \sf\green{ = > {2}^{3x - 11} = - 18 } \\ \sf\green{ = > {2}^{3x - 11} + 2 = - 18 + 2 (both side+2) } \\ \sf\purple{we \: know \: {a}^{m} + {a}^{n} = {a}^{m + n} } \\ \sf\green{ = > {2}^{3x - 11 + 1} = - 16 } \\ \sf\green{ = > {2}^{3x - 10} = {2}^{ - 4} } \\ \sf\green{ = > 3x - 10 = - 4} \\ \sf\green{ = >3x = - 4 + 10 } \\ \sf\green{ = > 3x = 6} \\ \sf\orange{ = > x = 2}$

$\large\boxed{ \fcolorbox{red}{yellow}{hope \: it \: help \: you}}$