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Write the following in logarithmic form: (i) 8^{3} = 512 (ii)

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Write the following in logarithmic form:
(i) $8^{3} = 512$ (ii) $3 2^{3/5} = 8$ (iii) $7^{- 2} = \frac{1}{49}$ (iv) $1 0^{- 2} = 0.01$ .

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Amelia Discussed

Write the following in logarithmic form:
(i)

8^{3} = 512

(ii)

3 2^{3/5} = 8

(iii)

7^{- 2} = \frac{1}{49}

(iv)

1 0^{- 2} = 0.01

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Text solutionVerified

Write the following in logarithmic form

(i)

8^{3} = 512

lo g_{8} (5/2) = 3

(ii)

3 5^{3/5} = 8

lo g_{32} (8) = 3/5

(iii)

7^{- 2} = 1/49

lo g_{7} (\frac{1}{49}) = - 2

(iv)

1 0^{- 2} = 0.01

lo g_{10} (0.01) = - 2

(v)

E = \frac{1}{2} m v^{2}

V^{2} = \frac{2 E}{m}

lo g_{u} (\frac{2 E}{m}) = 2

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Question Text	Write the following in logarithmic form: (i) $8^{3} = 512$ (ii) $3 2^{3/5} = 8$ (iii) $7^{- 2} = \frac{1}{49}$ (iv) $1 0^{- 2} = 0.01$ .
Answer Type	Text solution:1
Upvotes	150