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Types of Lenses

8. How to fin...

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8. How to find the value of log7 base 10.

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Q. Find the value of :
(i)

{log}_{1 / 2} 8

{log}_{5} 0.008

{log}_{5} 3125

{log}_{7} \sqrt[3]{7}

Q. Simplify the following.
(i)

{log}_{10} 3 + {log}_{10} 3

{log}_{25} 35 - {log}_{25} 10

{log}_{7} 21 + {log}_{7} 77 + {log}_{7} 88 - {log}_{7} 121 - {log}_{7} 24

{log}_{8} 16 + {log}_{8} 52 - \frac{1}{{log}_{13} 8}

5 {log}_{10} 2 + 2 {log}_{10} 3 - 6 {log}_{64} 4

{log}_{10} 8 + {log}_{10} 5 - {log}_{10} 4

Q. Find the value of

log 7

using series expansion.

Q. Find the value of

49^{(1 - {log}_{7} 2)} + 5^{- {log}_{5} 4}

log 2 =^{.} 3010300, log 3 =^{.} 4771213, log 7 =^{.} 8450980,

find the value of

log 64

.

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