If Log X = a and Log Y = B, Write Down 10a-1 in Terms of X

If log x = a and log y = b, write down
10^a-1 in terms of x

योग

10^a-1 in terms of x
log x = a
⇒ x = 10^a
∴ 10^a-1
= `(10^"a")/(10) = x/(10)`.

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अध्याय 7: Logarithms - Exercise 10.2

अध्याय 7 Logarithms
Exercise 10.2 | Q 15.1

If log₂(x + y) = log₃(x - y) = `log 25/log 0.2`, find the values of x and y.

Solve : log₅( x + 1 ) - 1 = 1 + log₅( x - 1 ).

Given x = log₁₀12 , y = log₄ 2 x log₁₀9 and z = log₁₀0.4 , find :
(i) x - y - z
(ii) 13^{x - y - z}

Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`

Solve the following:
log ₄ x + log₄(x-6) = 2

Solve for x: `("log"81)/("log"9)` = x

Solve for x: `("log"1331)/("log"11)` = logx

Solve for x: `("log"289)/("log"17)` = logx

State, true of false:
log_ba =-log_ab

Find x and y, if `("log"x)/("log"5) = ("log"36)/("log"6) = ("log"64)/("log"y)`