Question

Pls Help, Max Points

Answer 1

`\\ \rm\Rrightarrow 49(7^(3x-8))=343^(4x+9)`

`\\ \rm\Rrightarrow 7^2(7^(3x-8))=(7^3)^(4x+9)`

`\\ \rm\Rrightarrow 7^(2+3x-8)=7^(3(4x+9))`

`\\ \rm\Rrightarrow 7^(3x-6)=7^(12x+27)`

`\\ \rm\Rrightarrow 3x-6=12x+27`

`\\ \rm\Rrightarrow -33={9x}`

`\\ \rm\Rrightarrow x=(-33)/(9)`

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Answer 2

`x = - (33)/(9)`

Explanation:

`(49)(7 {}^(3x - 8) ) = 343 {}^(4x + 9)`

As we know 7² = 49 and 7³= 343

`7 {}^(2) (7 {}^(3x - 8) ) = (7 {}^(3) ) {}^(4x + 9)`

Taking 7 as common

`7 {}^(3x - 6) = 7 {}^(12x + 27)`

`3x - 6 = 12x + 27`

Taking like terms one side .

`3x - 12x = 27 + 6`

`- 9 x = 33`

`x = - (33)/(9)`

`\sf\red{hope\:it\:helps\:you}`