Question $\log _{6} 36 x=1$

Studdy Solution

STEP 1

1. The equation $\log_{6}(36x) = 1$ involves a logarithm with base 6.
2. We will need to use properties of logarithms to solve for $x$ .

STEP 2

1. Convert the logarithmic equation to an exponential equation.
2. Solve the resulting equation for $x$ .

STEP 3

Convert the logarithmic equation to an exponential form. Recall that if $\log_b(a) = c$ , then $b^c = a$ . Thus, we have:
$6^1 = 36x$

STEP 4

Solve the exponential equation for $x$ . Start by simplifying the equation:
$6 = 36x$
Next, divide both sides by 36 to isolate $x$ :
$x = \frac{6}{36}$
Simplify the fraction:
$x = \frac{1}{6}$
The value of $x$ is:
$\boxed{\frac{1}{6}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms