Mathematics, 26.06.2021 05:20 jetblackcap

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What is the solution to this equation? (1/4)^x+1 =32

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Answer from: anthony3913

B. $\displaystyle \frac{-7}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$ Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \bigg( \frac{1}{4} \bigg)^{x + 1} = 32$

Step 2: Solve for x

Rewrite: $\displaystyle \bigg( \frac{1}{2^2} \bigg)^{x + 1} = 2^5$ Exponential Rule [Rewrite]: $\displaystyle (2^{-2})^{x + 1} = 2^5$ Exponential Rule [Powering]: $\displaystyle 2^{-2(x + 1)} = 2^5$ Set: $\displaystyle -2(x + 1)} = 5$ [Division Property of Equality] Divide -2 on both sides: $\displaystyle x + 1 = \frac{-5}{2}$ [Subtraction Property of Equality] Subtract -1 on both sides: $\displaystyle x = \frac{-7}{2}$

Answer from: Quest

the least common denominator is 40

Answer from: Quest

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

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