Question

FIND TYE VALUE OF X
PLEASE ANSWER​

Answer 1

Step-by-step explanation:

x will be 5/7²

please mark my answer as brainliest answer please

Answer 2

Given

• $\left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4}$

To find

• value of x

Step by step explanation

$\sf{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4}}$

$\sf{Bases \: are \: same \: power \: should \: be \: equal}$

$\sf{\Longrightarrow2 - (3x + 1) = 4}$

$\sf{\Longrightarrow2 - 3x - 1 = 4}$

$\sf{\Longrightarrow - 3x = 4 - 1}$

$\sf{\Longrightarrow - 3x = 3}$

$\sf{\Longrightarrow -x = \frac{3}{3} }$

$\sf{\Longrightarrow \ \ \ \ x = - 1}$

$\\ \\ \\ \sf{Verification \: \: \: \: _{\bold{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{5}{7} \right)^{3x + 1 } = \left(\dfrac{5}{7} \right)^{4} }}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{5}{7} \right)^{-3+ 1 } = \left(\dfrac{5}{7} \right)^{4}}}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{5}{7} \right)^{-2} = \left(\dfrac{5}{7} \right)^{4}}}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \div \left(\dfrac{7}{5} \right)^{2 } = \left(\dfrac{5}{7} \right)^{4}}}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow \left(\dfrac{5}{7} \right)^{2} \times \left(\dfrac{5}{7} \right)^{2 } = \left(\dfrac{5}{7} \right)^{4}}}}$

$\sf{Bases \: are \: same \: power \: should \: be \: equal}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow 2+2= 4}}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: {{\Longrightarrow 4 = 4}}}$

$\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {{\: \:\: \: \: \:LHS = RHS \ \ _{\pink{verified}}}}}$