What is the answer to log_{7}(x+9)+log_{7}(49)=4 ?

The answer to log_{7}(x+9)+log_{7}(49)=4 is x=40

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log_{7}(x+9)+log_{7}(49)=4

lo g_{7} (x + 9) + lo g_{7} (49) = 4

x = 40

Solution steps

lo g_{7} (x + 9) + lo g_{7} (49) = 4

Move

lo g_{7} (49)

to the right side

lo g_{7} (x + 9) = 4 - lo g_{7} (49)

Apply log rules

x + 9 = 49

Solve

x + 9 = 49 : x = 40

x = 40

Verify Solutions:

x = 40

True

The solution is

x = 40

lo g_{3} (x) = 6

lo g_{3} (x) = 0

lo g_{5} (x - 2) = 1 - lo g_{5} (x - 6)

lo g_{2} (x + 1) - lo g_{2} (x - 4) = 3

(lo g_{4} (1 + x^{2}))^{2} = 0.25

What is the answer to log_{7}(x+9)+log_{7}(49)=4 ?
The answer to log_{7}(x+9)+log_{7}(49)=4 is x=40
Solve for x: log_{7}(x+9)+log_{7}(49)=4
The solution is x=40