What is join (ln(90))/(2ln(2))-1 ?

The solution to join (ln(90))/(2ln(2))-1 is (ln(90))/(ln(4))-1

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join (ln(90))/(2ln(2))-1

join

\frac{ln ( 90 )}{2 ln ( 2 )} - 1

\frac{ln ( 90 )}{ln ( 4 )} - 1

Decimal Notation

2.24592 \dots

Solution steps

\frac{ln ( 90 )}{2 ln ( 2 )} - 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (2) = ln (2^{2})

= \frac{ln ( 90 )}{ln ( 2 ^{2} )} - 1

2^{2} = 4

= \frac{ln ( 90 )}{ln ( 4 )} - 1

ln (3 t)

4 x + 5 ln (x) - ln (2 x y)

ln (u) + 3 ln (z + 1) - 2 ln (z + 2)

(2 ln (3) - ln (4)) - (2 ln (1) - ln (2))

10 \cdot lo g_{10} (\frac{5 \cdot 1 0 ^{- 6}}{1 \cdot 1 0 ^{- 12}})

What is join (ln(90))/(2ln(2))-1 ?
The solution to join (ln(90))/(2ln(2))-1 is (ln(90))/(ln(4))-1