Solving for x by Megan Brett

Algebra Level 2

5 3 x = 5 7 x − 2 \large 5^{3x} = 5^{7x-2}

Solve for x x satisfying the equation above.

1.5 3.5 2 0.5

Megan Brett by Megan Brett , 21, Canada

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3 solutions

Marta Reece
Jun 1, 2017

3 x = 7 x − 2 3x=7x-2

4 x = 2 4x=2

x = 1 2 x=\dfrac12

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Radhesh Luthra
Jun 2, 2017

5 3 x = 5 7 x − 2 5^{3x} = 5^{7x -2}

⟹ 3 x = 7 x − 2 \implies 3x = 7x -2

⟹ x = 1 2 = 0.5 \implies x= \dfrac 12 = \color{#3D99F6}{\boxed{0.5}}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Nikhil Raj
Jun 2, 2017

5 3 x = 5 7 x − 2 ⟹ 3 x = 7 x − 2 ⟹ 4 x = 2 ⟹ x = 0.5 5^{3x} = 5^{7x - 2} \\ \implies 3x = 7x - 2 \\ \implies 4x = 2 \\ \implies x = \color{#E81990}{\boxed{0.5}}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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