What is the answer to log_{x}(27)=1.5 ?

The answer to log_{x}(27)=1.5 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(27)=1.5

lo g_{x} (27) = 1.5

x = 9

Solution steps

lo g_{x} (27) = 1.5

Apply log rules

\frac{1}{lo g _{27} ( x )} = 1.5

Multiply both sides by

lo g_{27} (x)

\frac{1}{lo g _{27} ( x )} lo g_{27} (x) = 1.5 lo g_{27} (x)

Simplify

1 = 1.5 lo g_{27} (x)

Switch sides

1.5 lo g_{27} (x) = 1

Multiply both sides by

10

15 lo g_{27} (x) = 10

Divide both sides by

15

lo g_{27} (x) = \frac{2}{3}

Apply log rules

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

5 lo g_{10} (x + 2) - 3 = 12

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

- 3 lo g_{8} (x) - 1 = - 2

lo g_{2} (3 x - 7) - 5 = 0

lo g_{0.5} (12 - 8 x) = - 4