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Write an equivalent exponential or logarithmic equation. e⁽²ˣ⁺⁵⁾=274

User IoWint
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Final answer:

To write e^(2x+5) = 274 as a logarithmic equation, take the natural logarithm of both sides to get 2x + 5 = ln(274).

Step-by-step explanation:

The student asked to write an equivalent exponential or logarithmic equation for the expression e^(2x+5) = 274. To convert this exponential equation into a logarithmic form, you would use the property that the natural log (ln) and the exponential function e^x are inverses of each other. Thus, applying the natural logarithm to both sides of the equation gives us:

ln(e^(2x+5)) = ln(274)

Which simplifies to:

2x + 5 = ln(274)

This is the logarithmic equation equivalent to the original exponential equation.

User Jacek Kowalewski
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