masonrochester7

23.03.2021 •

Mathematics

Write a recursive formula for each sequence. 80, 440, 20. -10, ... -40 O a. Q, = 80, 0, --400,- 1. n 2 2 Ob. a = 80, a, = 40a, . n 2 2 Oc. a, = 80, 9, =-0.50,- 1.022 d. a = 80, 0, = 0.50,-1, 122

Solved

Show answers

Ответ:

KetaFord1978

15.04.2023

Mathematics

Option B: $x=\frac{8}{3}$ is the solution

Explanation:

The given expression is $\log _{2} 9 x-\log _{2} 3=3$

We need to determine the solution for the given expression.

The solution can be determined by solving the expression for x.

Adding $\log _{2} 3$ to both sides of the expression, we have,

$\log _{2}9 x=3+\log _{2}3$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, we have,

$9 x=2^{3+\log _{2}3}$

$9 x=2^{3}\cdot 2^{\log _{2}3}$

Simplifying, using the identity $a^{\log _{a}(b)}=b$ , we have,

$9 x=8\cdot 3$

Multiplying, we get,

9x=24

Dividing both sides by 9, we have,

$x=\frac{24}{9}$

Simplifying, we have,

$x=\frac{8}{3}$

Thus, the solution of the expression is $x=\frac{8}{3}$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Write a recursive formula for each sequence. 80, 440, 20. -10, ... -40 O a. Q, = 80, 0, --400,- 1. n 2 2 Ob. a = 80, a, = 40a, . n 2 2 Oc. a, = 80, 9, =-0.50,- 1.022 d. a = 80, 0, = 0.50,-1, 122​