Category: Logarithms

Question Number 4816 by Kelvin last updated on 15/Mar/16 Commented by prakash jain last updated on 15/Mar/16 $$\log .006-\log .0012=\log \frac{.006}{.0012}=\log \frac{60}{12}=\log 5$$$$\log .007-\log .00243=\log \frac{.007}{.00243}=\log \frac{700}{243}$$$$\log .008+\log 4000=\log (.008\times 4000)=\log 32=5\log 2$$$$\mathrm{log}\:.\mathrm{0128}=\mathrm{7log}\:\mathrm{2}−\mathrm{log}\:\mathrm{10000}=\mathrm{7log}\:\mathrm{2}−\mathrm{4} \…

Question Number 70252 by Shamim last updated on 02/Oct/19 $$\mathrm{If},\log {\mathrm{x}}^{\mathrm{y}}=6\mathrm{and}\log {14\mathrm{x}}^{8\mathrm{y}}=3\mathrm{then}\mathrm{find}$$$$\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{x},\mathrm{y}.$$ Answered by MJS last updated on 02/Oct/19 $$\mathrm{log}\:{x}^{{y}} =\mathrm{6}\:\Rightarrow\:{y}\mathrm{log}\:{x}\:=\mathrm{6}…

Question Number 4615 by love math last updated on 14/Feb/16 $$2^{{log}_{0.5}^{2}x}+x^{{log}_{0.5}x}>2.5$$ Answered by Yozzii last updated on 14/Feb/16…

Question Number 4592 by love math last updated on 09/Feb/16 $$\frac{1}{2}+{log}_{9}x-{log}_{3}5x>{log}_{\frac{1}{3}}(x+1)$$ Answered by Rasheed Soomro last updated on 10/Feb/16 $$\frac{\mathrm{1}}{\mathrm{2}}+{log}_{\mathrm{9}}…

Question Number 4515 by love math last updated on 04/Feb/16 $$3^{2+{log}_{9}25}=5\times 9^{\frac{2}{x}}$$ Commented by love math last updated on 05/Feb/16 $${Is}\:{there}\:{any}\:{way}\:{to}\:{prove}\:\mathrm{3}^{\mathrm{2}+{log}_{\mathrm{9}} \mathrm{25}}…