What is the answer to x^{ln(17)}+17^{ln(x)}=34 ?

The answer to x^{ln(17)}+17^{ln(x)}=34 is x=17^{4167/11806}

Solve for x: x^{ln(17)}+17^{ln(x)}=34

The solution is x=17^{4167/11806}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{l n (17)} + 1 7^{l n (x)} = 34

x = 1 7^{\frac{4167}{11806}}

Decimal Notation

x = 2.71828 \dots

Solution steps

x^{l n (17)} + 1 7^{l n (x)} = 34

Move

x^{l n (17)}

to the right side

1 7^{l n (x)} = 34 - x^{l n (17)}

Apply log rules

x^{l n (17)} = 34 - x^{l n (17)}

Solve

x^{l n (17)} = 34 - x^{l n (17)} : x = 1 7^{\frac{4167}{11806}}

x = 1 7^{\frac{4167}{11806}}

Verify Solutions:

x = 1 7^{\frac{4167}{11806}}

True

The solution is

x = 1 7^{\frac{4167}{11806}}

ln (x^{2} - 1) = ln (x + 1)

65 = 9 \cdot ln (x) + 44

2 lo g_{3} (x + 2) = lo g_{3} (3) + 1

ln (10 x + 6) = 5

lo g_{y} (2) = lo g_{4} (32)

What is the answer to x^{ln(17)}+17^{ln(x)}=34 ?
The answer to x^{ln(17)}+17^{ln(x)}=34 is x=17^{4167/11806}
Solve for x: x^{ln(17)}+17^{ln(x)}=34
The solution is x=17^{4167/11806}