What is the answer to 3^{4^{x+3}}=3^{16^{2x-5}} ?

The answer to 3^{4^{x+3}}=3^{16^{2x-5}} is x= 13/3

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3^{4^{x+3}}=3^{16^{2x-5}}

3^{4^{x + 3}} = 3^{1 6^{2 x - 5}}

x = \frac{13}{3}

Decimal Notation

x = 4.33333 \dots

Solution steps

3^{4^{x + 3}} = 3^{1 6^{2 x - 5}}

Apply exponent rules

x + 3 = 2 (2 x - 5)

Solve

x + 3 = 2 (2 x - 5) : x = \frac{13}{3}

x = \frac{13}{3}

110624.8 = 55000 \cdot (1.15)^{x}

3^{x - x^{2}} = \frac{1}{9 ^{x}}

7^{x} = 4 9^{2}

e^{x} = - \frac{1}{2}

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

What is the answer to 3^{4^{x+3}}=3^{16^{2x-5}} ?
The answer to 3^{4^{x+3}}=3^{16^{2x-5}} is x= 13/3
Solve for x: 3^{4^{x+3}}=3^{16^{2x-5}}
The solution is x= 13/3