What is the answer to log_{x}(2.1127)=23.57 ?

The answer to log_{x}(2.1127)=23.57 is x=2.1127^{100/2357}

Solve for x: log_{x}(2.1127)=23.57

The solution is x=2.1127^{100/2357}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

lo g_{x} (2.1127) = 23.57

x = 2.112 7^{\frac{100}{2357}}

Decimal Notation

x = 1.03224 \dots

Solution steps

lo g_{x} (2.1127) = 23.57

Apply log rules

\frac{1}{lo g _{2.1127} ( x )} = 23.57

Multiply both sides by

lo g_{2.1127} (x)

\frac{1}{lo g _{2.1127} ( x )} lo g_{2.1127} (x) = 23.57 lo g_{2.1127} (x)

Simplify

1 = 23.57 lo g_{2.1127} (x)

Switch sides

23.57 lo g_{2.1127} (x) = 1

Multiply both sides by

100

2357 lo g_{2.1127} (x) = 100

Divide both sides by

2357

lo g_{2.1127} (x) = \frac{100}{2357}

Apply log rules

x = 2.112 7^{\frac{100}{2357}}

Verify Solutions:

x = 2.112 7^{\frac{100}{2357}}

True

The solution is

x = 2.112 7^{\frac{100}{2357}}

10 lo g_{10} (x) = 1.5

3 ln (x - 1) - 2 = 4

\frac{9}{8} lo g_{3} (x) = 3

lo g_{5} (x) = 4 lo g_{x} (5) + 3

ln (5 x - 4) - ln (7) = ln (37)

What is the answer to log_{x}(2.1127)=23.57 ?
The answer to log_{x}(2.1127)=23.57 is x=2.1127^{100/2357}
Solve for x: log_{x}(2.1127)=23.57
The solution is x=2.1127^{100/2357}