Question

Solve the following equations for x.
1


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Answer 1

Answer:

I have mentioned the answer in the pic..

hope it helps..

Answer 2

Answer :

• x = $\sf\dfrac{2}{3}$

Step by step explanation :

a ) $\sf 7^{6x}\:\times\:7^{3}\:=\:7^9\:\times\:7^{-3x}$

The exponents sum must be equal as it is an equation . The numbers are multiplying so powers would be added .

• 6x + 3 = 9 + ( - 3x )
• 6x + 3 = 9 - 3x
• 6x + 3x = 9 - 3
• 9x = 6
• $\sf x \:=\:\dfrac{6}{9}$
• x = $\sf\dfrac{2}{3}$

Check :

• $\sf 7^{6x}\:\times\:7^{3}\:=\:7^9\:\times\:7^{-3x}$

Substitute the value of x as 2

• $\sf 7^{4}\:\times\:7^{3}\:=\:7^9\:\times\:7^{-2}$

• 4 + 3 = 9 - 2
• 7 = 7
• LHS = RHS
• Hence proved