Please solve this

Asked by aastharoy997 | 1st Apr, 2020, 11:39: AM

Expert Answer:

To find b if loge3 logb256 = log981 loge9
log subscript e 3 space log subscript b 256 space equals space log subscript 9 81 space log subscript e 9
log subscript e 3 space log subscript b 256 space equals space log subscript 9 9 squared space space log subscript e 3 squared
log subscript e 3 space log subscript b 2 to the power of 8 space equals space left parenthesis 2 space log subscript 9 9 right parenthesis space left parenthesis 2 space log subscript e 3 right parenthesis
8 space log subscript b 2 space equals space 4
log subscript b 2 space equals space 1 half
log subscript 2 b space equals space 2
b space equals space 2 squared space equals space 4log subscript e 3 space log subscript b 256 space equals space log subscript 9 81 space log subscript e 9
log subscript e 3 space log subscript b 256 space equals space log subscript 9 9 squared space space log subscript e 3 squared
log subscript e 3 space log subscript b 2 to the power of 8 space equals space left parenthesis 2 space log subscript 9 9 right parenthesis space left parenthesis 2 space log subscript e 3 right parenthesis
8 space log subscript b 2 space equals space 4
log subscript b 2 space equals space 1 half
log subscript 2 b space equals space 2
b space equals space 2 squared space equals space 4

Answered by Renu Varma | 1st Apr, 2020, 03:08: PM

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