how do I write these in logarithmic form?

1. 3^4 = 81

2. (1/2)^4 = 1/16

solve for x

1. log

_{x}32 = 52. log

_{2}64 = xthankyou

how do I write these in logarithmic form?

1. 3^4 = 81

2. (1/2)^4 = 1/16

solve for x

1. log_{x}32 = 5

2. log_{2}64 = x

thankyou

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Durham, NC

The rule to remember for going from exponent to logarithm is to remember that the base of the logarithm, is the base of the exponent (and vice versa). The other two numbers swap to other sides of the equals

So 3^4 = 81 becomes log_{3} 81 = 4.

Also log_{2}64 = X becomes 2^{X} = 64. So X=6.

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