QuestionCondense the logarithm $8 \log b+y \log k$

Studdy Solution

STEP 1

1. We are given a logarithmic expression to condense.
2. The properties of logarithms can be used to combine the terms into a single logarithm.

STEP 2

1. Apply the power rule of logarithms to each term.
2. Use the product rule of logarithms to combine the terms into a single logarithm.

STEP 3

Apply the power rule of logarithms, which states that $a \log x = \log x^a$ , to each term in the expression:
$8 \log b = \log b^8$ $y \log k = \log k^y$

STEP 4

Use the product rule of logarithms, which states that $\log x + \log y = \log(xy)$ , to combine the terms:
$\log b^8 + \log k^y = \log(b^8 \times k^y)$
The condensed logarithm is:
$\log(b^8 \times k^y)$

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