What is the answer to 49^{p+1}=343^{2p} ?

The answer to 49^{p+1}=343^{2p} is p= 1/2

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49^{p+1}=343^{2p}

4 9^{p + 1} = 34 3^{2 p}

p = \frac{1}{2}

Decimal Notation

p = 0.5

Solution steps

4 9^{p + 1} = 34 3^{2 p}

Apply exponent rules

2 (p + 1) = 6 p

Solve

2 (p + 1) = 6 p : p = \frac{1}{2}

p = \frac{1}{2}

0.9 8^{x} = 1.6

9^{(x^{2})} = 3^{3 x + 2}

3^{x^{3}} = 24 3^{x}

2^{y} = 10

7^{3 x + 1} = 5^{x}

What is the answer to 49^{p+1}=343^{2p} ?
The answer to 49^{p+1}=343^{2p} is p= 1/2
Solve for p: 49^{p+1}=343^{2p}
The solution is p= 1/2