Heya mate!
: Here is it question-
Can any body give me logarithm questions with solution.....plz ......for class 10
Answers
Solve log_2(x+2)=3log2 (x+2)=3
A: The equation is defined for x+2>0x+2>0.
We raise 2 to the power of each side of the equation. The resulting equation is
2^{\log_2{x+2}}=2^32
log
2
=> x+2
=2
3
=> x+2=8x+2=8
=>x=6x=6.
Solve the equation \log_9(3^x)=15log
9
(3
x
)=15
A:We take the base 9 antilogarithm:
3^x=9^{15}3
x
=9
15
=> 3^x=3^{30}3
x
=3
30
=>x=30x=30
Step-by-step explanation:
Hi, This is keshav from 10th standard.
Logarithmic Questions.
(1)
log(7x + 3) = log(5x + 9)
(7x + 3) = (5x + 9)
7x - 5x = 9 - 3
2x = 6
x = 3
(2)
log(x - 2)+log(x + 3) = log14
loga + logb = log(ab)
log(x - 2)(x + 3) = log(14)
(x - 2)(x + 3) = 14
x^2 - x - 6 = 14
x^2 - x - 20 = 0
x^2 + 4x - 5x - 20 = 0
x(x + 4) - 5(x + 4) = 0
(x - 5)(x + 4) = 0
x = 5,-4
(3)
4^x - 3 = 9
Apply log on both sides
log(4^x - 3) = log 9
log(4^x - 3) = log 9
(x - 3) log 4 = log 9
x - 3 = log 9/log 4
x = 3 + (log 9/log 4)
x = 4.585
(4)
log(2x + 1) = log(x + 2) - log 3
log(2x + 1) = log(x + 2/3)
2x + 1 = (x + 2/3)
6x + 3 = x + 2
x = -1/5
(5)
10 = 24^x
(10/24) = x
log(10/24) = log x
log 10 - log 24 =x
2.30 - 3.18 = x
x = -0.87
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