Question

Find the value of X so that three raised to power X -2÷3 raised to power -3 equal to 3 raised to power four

Answer 1

Answer:

${3}^{x - 2} \div {3}^{ - 3} = {3}^{4} \\ \implies \: {3}^{x - 2} \times {3}^{3} = {3}^{4} \\ \implies \: {3}^{x - 2 + 3} = {3}^{4} \\ \implies \: {3}^{x + 1} = {3}^{4} \\ \implies \: x + 1 = 4 \\ \implies \: x = 4 - 1 \\ \implies \: \huge \fbox{x = 3}$