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Question Number 23891 by ketto last updated on 09/Nov/17

Commented by math solver last updated on 09/Nov/17

$$\mathrm{write},0.75\mathrm{as}\frac{75}{100}$$$$\mathrm{so}\mathrm{by}\mathrm{the}\mathrm{properties}\mathrm{of}\log ,$$$$\mathrm{we}\mathrm{can}\mathrm{write}$$$$\log 75-\log 100$$$$\Rightarrow \log 3.5^2-\log {10}^2$$$$\Rightarrow \log 3+2\log 5-2$$$$\Rightarrow \mathrm{we}\mathrm{know}\log 3=0.4771(\mathrm{you}\mathrm{should}$$$$\mathrm{remember}\mathrm{it}\mathrm{or}\mathrm{else}\mathrm{it}\mathrm{should}\mathrm{be}\mathrm{given}$$$$\mathrm{in}\mathrm{q}.\mathrm{as}\mathrm{there}\mathrm{is}\mathrm{no}\mathrm{proof}\mathrm{of}\mathrm{it}\mathrm{i}\mathrm{guess})$$$$\Rightarrow 0.4771+2(0.6990)-2$$$$\Rightarrow -0.124.$$$$\mathrm{P}.\mathrm{S}:\log \mathrm{ab}=\log \mathrm{a}+\log \mathrm{b}.$$$$\log \frac{\mathrm{a}}{\mathrm{b}}=\log \mathrm{a}-\log \mathrm{b}.$$$$$$

Commented by mrW1 last updated on 09/Nov/17

$$if\log 2isgiven,thenthereisno$$$$needtogive\log 5,since\log 2+\log 5=1.$$$$sothequestionisstrange.$$$$$$$$Thequestioncouldbe:$$$$Given\log 2=0.3010and\log 3=0.4771$$$$Evaluate\log 0.75$$

Commented by math solver last updated on 09/Nov/17

$$\mathrm{exactly}!{\mathrm{that}}^{\prime }\mathrm{s}\mathrm{what}\mathrm{i}\mathrm{want}\mathrm{to}\mathrm{convey}.$$$$$$

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