What is the answer to 2.3^x=3^5+17.3^5 ?

The answer to 2.3^x=3^5+17.3^5 is x=(ln(1549881.92093))/(ln(2.3))

Solve for x: 2.3^x=3^5+17.3^5

The solution is x=(ln(1549881.92093))/(ln(2.3))

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2. 3^{x} = 3^{5} + 17. 3^{5}

x = \frac{ln ( 1549881.92093 )}{ln ( 2.3 )}

Decimal Notation

x = 17.11313 \dots

Solution steps

2. 3^{x} = 3^{5} + 17. 3^{5}

Apply exponent rules

x ln (2.3) = ln (3^{5} + 17. 3^{5})

Solve

x ln (2.3) = ln (3^{5} + 17. 3^{5}) : x = \frac{ln ( 1549881.92093 )}{ln ( 2.3 )}

x = \frac{ln ( 1549881.92093 )}{ln ( 2.3 )}

6^{2 n + 1} + 6^{2} = 6^{n} + 6^{n + 3}

x^{l o g_{10} (4 x)} = 256

i, x^{i} = 2

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

(\frac{1}{3})^{2 x + 5} = 2 7^{1 - x}

What is the answer to 2.3^x=3^5+17.3^5 ?
The answer to 2.3^x=3^5+17.3^5 is x=(ln(1549881.92093))/(ln(2.3))
Solve for x: 2.3^x=3^5+17.3^5
The solution is x=(ln(1549881.92093))/(ln(2.3))