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Questions tagged 'Logarithms'

10 questions

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Anonymous

Feb 11, 2025

How to Add Logarithms with different bases?

How can I add logarithms with different bases? Specifically, I am looking to solve the expression Log4(32) + Log2(32). Could you please provide a detailed explanation of the steps involved in combinin...

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Anonymous

Feb 06, 2025

What is the percent rate of change in function y

What is the percent rate of change in the function ( y = (0.98)^x )? Additionally, please determine whether this function represents exponential growth or exponential decay. I have three specific pro...

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Anonymous

Jan 11, 2025

What is the solution to log5(10x-1)=log5(9x=7)

What is the solution to the equation log₅(10x - 1) = log₅(9x + 7)?

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Anonymous

Dec 31, 2024

Can someone explain why log(500) = 3 – log(2)?

Could someone explain why log(500) equals 3 – log(2) when using base 10? I’m curious if there is a specific property or rule in logarithms that justifies this equation. Thank you!

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Anonymous

Dec 08, 2024

How to add and subtract logarithms with different bases?

How can I add and subtract logarithms with different bases? For example, how do I solve the expression log₂(32) - log₄(16) + log₃(27)? I would appreciate a detailed explanation as well. Thank you!

Given the exponential equation 3x = 27, what is the logarithmic form of the equation in base 10?

Given the exponential equation (3^x = 27), what is the logarithmic form of this equation in base 10? a. (x = \frac{\log_{10}(3)}{\log_{10}(27)}) b. (x = \frac{\log_{10}(27)}{\log_{10}(3)}) c. (x = \f...

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Anonymous

Nov 17, 2024

A certain sound level is increased by an additional 20 dB. By how much does its intensity increase?

A certain sound level is increased by an additional 20 dB. By how much does its intensity increase? The answer provided is 100. Could someone please solve this and explain the process without using a...

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Anonymous

Nov 10, 2024

TI-89 titanium calculator?

How can I calculate logarithms with a base of 10 using the TI-89 Titanium calculator?

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Anonymous

Oct 31, 2024

difference between ln and log?

What is the difference between ln and log? Specifically, what does ln represent? Additionally, how can I solve the equation ln(7x - 1) = 2?

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Anonymous

Oct 15, 2024

Find the exact value of each expression a) log3 12 − log3 28 + log3 63 b)log5 80 − log5 50 − log5 40?

Find the exact value of each expression: a) ( \log_3 12 - \log_3 28 + \log_3 63 ) b) ( \log_5 80 - \log_5 50 - \log_5 40 )