Exercise -1.5 Complete Detailed Solutions | Class 10 | Yellapu Gyan Sagar скачать в хорошем качестве

Exercise -1.5 Complete Detailed Solutions | Class 10 | Yellapu Gyan Sagar

Ch-1 Real Numbers 1. Determine the value of the following. (i) log₂₅5 (ii)log₈₁3 (iii)log₂1/6 (iv)log₇1 (v)logₓ√x (vi)log₂512 (vii)log₁₀0.01 (viii)log₂/₃ 8/27 (ix)2²+2log₂3 2. Write the following expressions as log N and find their values. (i) log2 + log5 (ii)log 16 - log 2 (iii)3log 4 (iv)2log 3 - 3log 2 (v) log10 - 2log 3 - log2 3. Evaluate each of the following in terms of x and y, if it is given that x = log₂3 and y = log₂5 (i)log₂15 (ii)log₂7.5 (iii)log₂60 (iv)log₂6750 4. Expand the following. (i)log 1000 (ii)log 128/625 (iii)log x² y³ z⁴ (iv)log p² q³ / r⁴ (v)log √x³ / y² 5. If x² + y²= 25xy, then prove that 2 log (x + y) = 3 log 3 + log x + log y 6. If log ((x + y)/3) = 1/2 (log x +log y), then find the value of (x/y) + (y/x). 7. If (2.3)^x = (0.23)^y = 1000, then find the value of (1/x) - (1/y). 8. If 2^(x+1) = 3^(1-x) then find the value of x. 9. Is (i) log 2 rational or irrational? Justify your answer. (ii) log 100 rational or irrational? Justify your answer. 📌Chapter - 1, Real Numbers YouTube playlist - https://tinyurl.com/4vwby3b8 📌 Chapter - 1, Ex-1.1 YouTube playlist - https://tinyurl.com/4m79bnvx 📌 Chapter - 1, Ex-1.2 YouTube playlist - https://tinyurl.com/2r5f3ax7 📌 Chapter - 1, Ex-1.3 YouTube playlist - https://tinyurl.com/2uj5p5kc 📌 Chapter - 1, Ex-1.4 YouTube playlist - https://tinyurl.com/5dha32jh 📌 Chapter - 1, Ex-1.5 YouTube playlist - https://tinyurl.com/mrwv68ff Hope you understand it and enjoy it, Thank you.