What is the solution of the equation 9^2x=6? Round your answer to the nearest ten-thousandth.

Mathematics

1 answer:

sammy [17]3 years ago

4 0

Answer:

0.4077

Step-by-step explanation:

It's important to use parenthesis to avoid confusion.

9^(2x) = 6

Use exponent properties:

(9^2)^x = 6

81^x = 6

Take log of both sides

ln(81^x) = ln(6)

Use log properties:

x ln(81) = ln(6)

Solve for x:

x = ln(6) / ln(81)

x ≈ 0.4077

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<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the length of a bacterial cell is about 3 x 10⁻⁶ m, and the length of an amoeba cell is about 4.5 x 10−⁻⁴ m.

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B / A = ( 3 x 10⁻⁶ m ) / ( 4.5 x 10−⁻⁴ m )

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