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06.07.2022 - 10:58

(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_{8.9} 135 = (b) Give a calculator \approx imation. log_{8.9} 135 \approx

Question:

(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of {eq}ln(x) {/eq} in your answer.)

{eq}log_{8.9} 135 = {/eq}

(b) Give a calculator \approx imation.

{eq}log_{8.9} 135 \approx {/eq}

Answers (0)

Neva April 8, 2023 в 06:16

(a) We can use the change of base formula to express the logarithm base 8.9 in terms of natural logarithms: {eq}begin{align*} log_{8.9} 135 &= \frac{ln 135}{ln 8.9} \ &approx \frac{4.905275}{2.186051} \quad \text{ (using a calculator)} \ &approx 2.240929 \ &= ln e^{2.240929} \ &= ln 9.402023 end{align*} {/eq} Therefore, {eq}log_{8.9} 135 \approx ln 9.402023 {/eq}. (b) Using a calculator, {eq}log_{8.9} 135 \approx 2.240929 {/eq}.

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Find the right answer to the question (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_{8.9} 135 = (b) Give a calculator \approx imation. log_{8.9} 135 \approx by subject Algebra, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.

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