What is the answer to log_{10}(5x)+log_{10}(14)=1 ?

The answer to log_{10}(5x)+log_{10}(14)=1 is x= 1/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{10}(5x)+log_{10}(14)=1

lo g_{10} (5 x) + lo g_{10} (14) = 1

x = \frac{1}{7}

Solution steps

lo g_{10} (5 x) + lo g_{10} (14) = 1

Move

lo g_{10} (14)

to the right side

lo g_{10} (5 x) = 1 - lo g_{10} (14)

Apply log rules

5 x = \frac{5}{7}

Solve

5 x = \frac{5}{7} : x = \frac{1}{7}

x = \frac{1}{7}

Verify Solutions:

x = \frac{1}{7}

True

The solution is

x = \frac{1}{7}

ln (k) = 2

lo g_{x} (1728) = 3

y, x = ln ∣ y ∣

lo g_{3} (lo g_{8} (x)) = 1

lo g_{a} (27) = 3

What is the answer to log_{10}(5x)+log_{10}(14)=1 ?
The answer to log_{10}(5x)+log_{10}(14)=1 is x= 1/7
Solve for x: log_{10}(5x)+log_{10}(14)=1
The solution is x= 1/7