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07 Nov 2019, 06:19
Kudos
Bookmarks
Hi there,
Can anyone help me solve the following:
4^x*5^20=10^20
Can anyone help me solve the following:
4^x*5^20=10^20
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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07 Nov 2019, 06:34
Kudos
Bookmarks
4^x * 5^20 = (2*5)^20
2^2x * 5^20 = 2^20 * 5^20
2x = 20 => x = 10..
You have to go through basic concepts of surds and indices...
Posted from my mobile device
2^2x * 5^20 = 2^20 * 5^20
2x = 20 => x = 10..
You have to go through basic concepts of surds and indices...
Posted from my mobile device
07 Nov 2019, 11:39
Kudos
Bookmarks
kevinkhan
Sure!
Whenever you have exponents with different bases on either side of an equals sign, your first goal is to make the bases look as similar as possible.
You have bases of 4 and 5 on the left, and 10 on the right. The common factors between those are 2s and 5s. So, rewrite the bases using as many 2s and 5s as you can:
\((2^2)^x*5^{20}=(2*5)^{20}\)
Simplify using exponent rules:
\(2^{2x}*5^{20}=2^{20}*5^{20}\)
Divide both sides by \(5^{20}\):
\(2^{2x} = 2^{20}\)
Once everything is the same except for the exponent, you can just ignore the bases:
2x = 20
x = 10
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
